Publications

Kadison, Richard V. A note on projection equivalence in von Neumann algebras. C. R. Math. Acad. Sci. Soc. R. Can. 31 (2009), no. 1, 1--6.

Kadison, Richard V. Irving Kaplansky's role in mid-twentieth century functional analysis. Notices Amer. Math. Soc. 55 (2008), no. 2, 216--225.

Haagerup, Uffe ; Kadison, Richard V. ; Pedersen, Gert K. Means of unitary operators, revisited. Math. Scand. 100 (2007), no. 2, 193--197.

Arveson, William ; Kadison, Richard V. Diagonals of self-adjoint operators. Operator theory, operator algebras, and applications, 247--263, Contemp. Math., 414, Amer. Math. Soc., Providence, RI, 2006.

Kadison, Richard V. Non-commutative conditional expectations and their applications. Operator algebras, quantization, and noncommutative geometry, 143--179, Contemp. Math., 365, Amer. Math. Soc., Providence, RI, 2004.

Kadison, Richard V. On the early work of I. E. Segal. Special issue dedicated to the memory of I. E. Segal. J. Funct. Anal. 190 (2002), no. 1, 15--18.

Kadison, Richard V. The Pythagorean theorem. I. The finite case. Proc. Natl. Acad. Sci. USA 99 (2002), no. 7, 4178--4184 (electronic).

Kadison, Richard V. The Pythagorean theorem. II. The infinite discrete case. Proc. Natl. Acad. Sci. USA 99 (2002), no. 8, 5217--5222 (electronic).

Kadison, Richard V. Which Singer is that? Surveys in differential geometry, 347--373, Surv. Differ. Geom., VII, Int. Press, Somerville, MA, 2000.

Kadison, Richard V. Dual cones and Tomita-Takesaki theory. Operator algebras and operator theory (Shanghai, 1997), 151--178, Contemp. Math., 228, Amer. Math. Soc., Providence, RI, 1998.

Kadison, Richard V. On representations of finite type. Proc. Natl. Acad. Sci. USA 95 (1998), no. 23, 13392--13396 (electronic).

Kadison, Richard V. ; Ringrose, John R. Fundamentals of the theory of operator algebras. Vol. II. Advanced theory. Corrected reprint of the 1986 original. Graduate Studies in Mathematics, 16. American Mathematical Society, Providence, RI, 1997. pp. i--xxii and 399--1074. ISBN: 0-8218-0820-6

Kadison, Richard V. ; Ringrose, John R. Fundamentals of the theory of operator algebras. Vol. I. Elementary theory. Reprint of the 1983 original. Graduate Studies in Mathematics, 15. American Mathematical Society, Providence, RI, 1997. xvi+398 pp. ISBN: 0-8218-0819-2

Hansen, Mogens L. ; Kadison, Richard V. Banach algebras with unitary norms. Pacific J. Math. 175 (1996), no. 2, 535--552.

Harris, Lawrence A. ; Kadison, Richard V. Schurian algebras and spectral additivity. J. Algebra 180 (1996), no. 1, 175--186.

Harris, Lawrence A. ; Kadison, Richard V. Affine mappings of invertible operators. Proc. Amer. Math. Soc. 124 (1996), no. 8, 2415--2422.

Kadison, Richard V. Notes on the Gelʹfand-Neumark theorem. C∗-algebras: 1943–1993 (San Antonio, TX, 1993), 20--53, Contemp. Math., 167, Amer. Math. Soc., Providence, RI, 1994.

Kadison, Richard V. Strategies in the secretary problem. Exposition. Math. 12 (1994), no. 2, 125--144.

Kadison, Richard V. Book Review: Operator algebras in dynamical systems. Bull. Amer. Math. Soc. (N.S.) 28 (1993), no. 1, 133--136.

Kadison, Richard V. On an inequality of Haagerup-Pisier. J. Operator Theory 29 (1993), no. 1, 57--67.

Kadison, Richard V. ; Ringrose, John R. Fundamentals of the theory of operator algebras. Vol. IV. Special topics. Advanced theory—an exercise approach. Birkhäuser Boston, Inc., Boston, MA, 1992. pp. i--xv and 274--859. ISBN: 0-8176-3498-3

Kadison, Richard V. A note on the similarity problem. J. Operator Theory 26 (1991), no. 2, 389--405.

Kadison, Richard V. ; Ringrose, John R. Fundamentals of the theory of operator algebras. Vol. III. Special topics. Elementary theory—an exercise approach. Birkhäuser Boston, Inc., Boston, MA, 1991. xiv+273 pp. ISBN: 0-8176-3497-5

Kadison, Richard V. Triangular algebras—another chapter. Selfadjoint and nonselfadjoint operator algebras and operator theory (Fort Worth, TX, 1990), 63--76, Contemp. Math., 120, Amer. Math. Soc., Providence, RI, 1991.

Kadison, Richard V. Reflections relating a von Neumann algebra and its commutant. Mappings of operator algebras (Philadelphia, PA, 1988), 295--304, Progr. Math., 84, Birkhäuser Boston, Boston, MA, 1990.

Kadison, Richard V. Operator algebras—an overview. The legacy of John von Neumann (Hempstead, NY, 1988), 61--89, Proc. Sympos. Pure Math., 50, Amer. Math. Soc., Providence, RI, 1990.

Kadison, Richard V. Local derivations. J. Algebra 130 (1990), no. 2, 494--509.

Kadison, Richard V. Some notes on noncommutative analysis. Analysis at Urbana, Vol. II (Urbana, IL, 1986–1987), 243--257, London Math. Soc. Lecture Note Ser., 138, Cambridge Univ. Press, Cambridge, 1989.

Kadison, Richard V. Notes on the canonical anticommutation relations. Statistical mechanics and field theory: mathematical aspects (Groningen, 1985), 281--294, Lecture Notes in Phys., 257, Springer, Berlin, 1986.

Kadison, Richard V. Algebras of unbounded functions and operators. Exposition. Math. 4 (1986), no. 1, 3--33.

Kadison, Richard V. ; Ringrose, John R. Fundamentals of the theory of operator algebras. Vol. II. Advanced theory. Pure and Applied Mathematics, 100. Academic Press, Inc., Orlando, FL, 1986. pp. i--xiv and 399--1074. ISBN: 0-12-393302-1

Kadison, Richard V. The von Neumann algebra characterization theorems. Exposition. Math. 3 (1985), no. 3, 193--227.

Kadison, Richard V. ; Pedersen, Gert K. Means and convex combinations of unitary operators. Math. Scand. 57 (1985), no. 2, 249--266.

Kadison, Richard V. Diagonalizing matrices. Amer. J. Math. 106 (1984), no. 6, 1451--1468.

Kadison, Richard V. ; Ringrose, John R. Fundamentals of the theory of operator algebras. Vol. I. Elementary theory. Pure and Applied Mathematics, 100. Academic Press, Inc. [Harcourt Brace Jovanovich, Publishers], New York, 1983. xv+398 pp. ISBN: 0-12-393301-3

Kadison, Richard V. Diagonalizing matrices over operator algebras. Bull. Amer. Math. Soc. (N.S.) 8 (1983), no. 1, 84--86.

Kadison, Richard V. Limits of states. Comm. Math. Phys. 85 (1982), no. 1, 143--154.

Kadison, Richard V. Operator algebras—the first forty years. Operator algebras and applications, Part I (Kingston, Ont., 1980), pp. 1--18, Proc. Sympos. Pure Math., 38, Amer. Math. Soc., Providence, R.I., 1982.

Kadison, Richard V. Unbounded similarity. Algèbres d'opérateurs et leurs applications en physique mathématique (Proc. Colloq., Marseille, 1977), pp. 193--199, Colloq. Internat. CNRS, 274, CNRS, Paris, 1979.

Kadison, Richard V. Product isometries and automorphisms of the CAR algebra. C∗-algebras and applications to physics (Proc. Second Japan-USA Sem., Los Angeles, Calif., 1977), pp. 173--185, Lecture Notes in Math., 650, Springer, Berlin, 1978.

Kadison, Richard V. Similarity of operator algebras. Acta Math. 141 (1978), no. 3-4, 147--163.

Kadison, Richard V. Notes on the Fermi gas. Symposia Mathematica, Vol. XX (Convegno sulle Algebra C* e loro Applicazioni in Fisica Teorica, Convegno sulla Teoria degli Operatori Indice e Teoria K, INDAM, Rome, 1975), pp. 425--431. Academic Press, London, 1976.

Kadison, Richard V. Book Review: The structure of factors. Bull. Amer. Math. Soc. 81 (1975), no. 3, 522--527.

Kadison, Richard V. A note on derivations of operator algebras. Bull. London Math. Soc. 7 (1975), 41--44.

Kadison, Richard V. ; Ringrose, John R. Algebraic automorphisms of operator algebras. J. London Math. Soc. (2) 8 (1974), 329--334.

Kadison, Richard V. ; Kastler, Daniel . Perturbations of von Neumann algebras. I. Stability of type. Amer. J. Math. 94 (1972), 38--54.

Kadison, Richard V. Mappings of operator algebras. Actes du Congrès International des Mathématiciens (Nice, 1970), Tome 2, pp. 389--393. Gauthier-Villars, Paris, 1971.

Kadison, Richard V. ; Ringrose, John R. Cohomology of operator algebras. II. Extended cobounding and the hyperfinite case. Ark. Mat. 9, 55--63. (1971).

Kadison, Richard V. ; Ringrose, John R. Cohomology of operator algebras. I. Type I von Neumann algebras. Acta Math. 126 1971 227--243.

Kadison, Richard V. ; Pedersen, Gert Kjaergȧrd . Equivalence in operator algebras. Math. Scand. 27 (1970), 205--222 (1971).

Kadison, Richard V. ; Ringrose, John R. Fundamentals of the theory of operator algebras. Vol. IV. Special topics. Advanced theory—an exercise approach. Birkhäuser Boston, Inc., Boston, MA, 1992. pp. i--xv and 274--859. ISBN: 0-8176-3498-3

Kadison, Richard V. A note on the similarity problem. J. Operator Theory 26 (1991), no. 2, 389--405.

Kadison, Richard V. ; Ringrose, John R. Fundamentals of the theory of operator algebras. Vol. III. Special topics. Elementary theory—an exercise approach. Birkhäuser Boston, Inc., Boston, MA, 1991. xiv+273 pp. ISBN: 0-8176-3497-5

Kadison, Richard V. Triangular algebras—another chapter. Selfadjoint and nonselfadjoint operator algebras and operator theory (Fort Worth, TX, 1990), 63--76, Contemp. Math., 120, Amer. Math. Soc., Providence, RI, 1991.

Kadison, Richard V. Reflections relating a von Neumann algebra and its commutant. Mappings of operator algebras (Philadelphia, PA, 1988), 295--304, Progr. Math., 84, Birkhäuser Boston, Boston, MA, 1990.

Kadison, Richard V. Operator algebras—an overview. The legacy of John von Neumann (Hempstead, NY, 1988), 61--89, Proc. Sympos. Pure Math., 50, Amer. Math. Soc., Providence, RI, 1990.

Kadison, Richard V. Local derivations. J. Algebra 130 (1990), no. 2, 494--509.

Kadison, Richard V. Some notes on noncommutative analysis. Analysis at Urbana, Vol. II (Urbana, IL, 1986–1987), 243--257, London Math. Soc. Lecture Note Ser., 138, Cambridge Univ. Press, Cambridge, 1989.

Kadison, Richard V. Notes on the canonical anticommutation relations. Statistical mechanics and field theory: mathematical aspects (Groningen, 1985), 281--294, Lecture Notes in Phys., 257, Springer, Berlin, 1986.

Kadison, Richard V. Algebras of unbounded functions and operators. Exposition. Math. 4 (1986), no. 1, 3--33.

Kadison, Richard V. ; Ringrose, John R. Fundamentals of the theory of operator algebras. Vol. II. Advanced theory. Pure and Applied Mathematics, 100. Academic Press, Inc., Orlando, FL, 1986. pp. i--xiv and 399--1074. ISBN: 0-12-393302-1

Kadison, Richard V. The von Neumann algebra characterization theorems. Exposition. Math. 3 (1985), no. 3, 193--227.

Kadison, Richard V. ; Pedersen, Gert K. Means and convex combinations of unitary operators. Math. Scand. 57 (1985), no. 2, 249--266.

Kadison, Richard V. Diagonalizing matrices. Amer. J. Math. 106 (1984), no. 6, 1451--1468.

Kadison, Richard V. ; Ringrose, John R. Fundamentals of the theory of operator algebras. Vol. I. Elementary theory. Pure and Applied Mathematics, 100. Academic Press, Inc. [Harcourt Brace Jovanovich, Publishers], New York, 1983. xv+398 pp. ISBN: 0-12-393301-3

Kadison, Richard V. Diagonalizing matrices over operator algebras. Bull. Amer. Math. Soc. (N.S.) 8 (1983), no. 1, 84--86.

Kadison, Richard V. Limits of states. Comm. Math. Phys. 85 (1982), no. 1, 143--154.

Kadison, Richard V. Operator algebras—the first forty years. Operator algebras and applications, Part I (Kingston, Ont., 1980), pp. 1--18, Proc. Sympos. Pure Math., 38, Amer. Math. Soc., Providence, R.I., 1982.

Kadison, Richard V. Unbounded similarity. Algèbres d'opérateurs et leurs applications en physique mathématique (Proc. Colloq., Marseille, 1977), pp. 193--199, Colloq. Internat. CNRS, 274, CNRS, Paris, 1979.

Kadison, Richard V. Product isometries and automorphisms of the CAR algebra. C∗-algebras and applications to physics (Proc. Second Japan-USA Sem., Los Angeles, Calif., 1977), pp. 173--185, Lecture Notes in Math., 650, Springer, Berlin, 1978.

Kadison, Richard V. Similarity of operator algebras. Acta Math. 141 (1978), no. 3-4, 147--163.

Kadison, Richard V. Notes on the Fermi gas. Symposia Mathematica, Vol. XX (Convegno sulle Algebra C* e loro Applicazioni in Fisica Teorica, Convegno sulla Teoria degli Operatori Indice e Teoria K, INDAM, Rome, 1975), pp. 425--431. Academic Press, London, 1976.

Kadison, Richard V. Book Review: The structure of factors. Bull. Amer. Math. Soc. 81 (1975), no. 3, 522--527.

Kadison, Richard V. A note on derivations of operator algebras. Bull. London Math. Soc. 7 (1975), 41--44.

Kadison, Richard V. ; Ringrose, John R. Algebraic automorphisms of operator algebras. J. London Math. Soc. (2) 8 (1974), 329--334.

Kadison, Richard V. ; Kastler, Daniel . Perturbations of von Neumann algebras. I. Stability of type. Amer. J. Math. 94 (1972), 38--54.

Kadison, Richard V. Mappings of operator algebras. Actes du Congrès International des Mathématiciens (Nice, 1970), Tome 2, pp. 389--393. Gauthier-Villars, Paris, 1971.

Kadison, Richard V. ; Ringrose, John R. Cohomology of operator algebras. II. Extended cobounding and the hyperfinite case. Ark. Mat. 9, 55--63. (1971).

Kadison, Richard V. ; Ringrose, John R. Cohomology of operator algebras. I. Type I von Neumann algebras. Acta Math. 126 1971 227--243.

Kadison, Richard V. ; Pedersen, Gert Kjaergȧrd . Equivalence in operator algebras. Math. Scand. 27 (1970), 205--222 (1971).

Kadison, Richard V. Some analytic methods in the theory of operator algebras. 1970 Lectures in Modern Analysis and Applications. II pp. 8--29 Lecture Notes in Mathematics, Vol. 140 Springer, Berlin

Aarnes, Johan F. ; Kadison, Richard V. Pure states and approximate identities. Proc. Amer. Math. Soc. 21 1969 749--752.

Kadison, Richard V. Strong continuity of operator functions. Pacific J. Math. 26 1968 121--129.

Kadison, Richard V. Lectures on operator algebras. 1967 Cargêse Lectures in Theoretical Physics: Application of Mathematics to Problems in Theoretical Physics (Cargêse, 1965) pp. 41--82 Gordon and Breach Science Publ., New York

Kadison, Richard V. ; Lance, E. Christopher ; Ringrose, John R. Derivations and automorphisms of operator algebras. II. J. Functional Analysis 1 1967 204--221.

Kadison, Richard V. The energy momentum spectrum of quantum fields. Comm. Math. Phys. 4 1967 258--260.

Kadison, Richard V. ; Ringrose, John R. Derivations and automorphisms of operator algebras. Comm. Math. Phys. 4 1967 32--63.

Kadison, Richard V. ; Ringrose, John R. Derivations of operator group algebras. Amer. J. Math. 88 1966 562--576.

Kadison, Richard V. ; Ringrose, John R. Automorphisms of operator algebras. Bull. Amer. Math. Soc. 72 1966 1059--1063.

Kadison, Richard V. Derivations of operator algebras. Ann. of Math. (2) 83 1966 280--293.

Kadison, Richard V. Transformations of states in operator theory and dynamics. Topology 3 1965 suppl. 2, 177--198.

Kadison, Richard V. Remarks on the type of von Neumann algebras of local observables in quantum field theory. J. Mathematical Phys. 4 1963 1511--1516.

Kadison, Richard V. Normalcy in operator algebras. Duke Math. J. 29 1962 459--464.

Kadison, Richard V. States and representations. Trans. Amer. Math. Soc. 103 1962 304--319.

Kadison, Richard V. The trace in finite operator algebras. Proc. Amer. Math. Soc. 12 1961 973--977.

Kadison, Richard V. ; Singer, I. M. Triangular operator algebras. Fundamentals and hyperreducible theory. Amer. J. Math. 82 1960 227--259.

Glimm, James G. ; Kadison, Richard V. Unitary operators in C∗-algebras. Pacific J. Math. 10 1960 547--556.

Kadison, Richard V. ; Singer, I. M. Extensions of pure states. Amer. J. Math. 81 1959 383--400.

Kadison, Richard V. Theory of operators. II. Operator algebras. Bull. Amer. Math. Soc. 64 1958 61--85.

Kadison, Richard V. ; Singer, I. M. Three test problems in operator theory. Pacific J. Math. 7 (1957), 1101--1106.

Kadison, Richard V. Unitary invariants for representations of operator algebras. Ann. of Math. (2) 66 (1957), 304--379.

Kadison, Richard V. Irreducible operator algebras. Proc. Nat. Acad. Sci. U.S.A. 43 (1957), 273--276.

Kadison, Richard V. Operator algebras with a faithful weakly-closed representation. Ann. of Math. (2) 64 (1956), 175--181.

Kadison, Richard V. Report on operator algebras. Report of an international conference on operator theory and group representations, Arden House, Harriman, N.Y., 1955, pp. 4--10. Publ. 387, National Academy of Sciences-National Research Council, Washington, D.C., 1955.

Kadison, Richard V. Multiplicity theory for operator algebras. Proc. Nat. Acad. Sci. U.S.A. 41 (1955), 169--173.

Kadison, Richard V. On the orthogonalization of operator representations. Amer. J. Math. 77 (1955), 600--620.

Kadison, Richard V. On the additivity of the trace in finite factors. Proc. Nat. Acad. Sci. U. S. A. 41, (1955). 385--387.

Kadison, Richard V. On the general linear group of infinite factors. Duke Math. J. 22, (1955). 119--122.

Feldman, Jacob ; Kadison, Richard V. The closure of the regular operators in a ring of operators. Proc. Amer. Math. Soc. 5, (1954). 909--916.

Kadison, Richard V. Infinite general linear groups. Trans. Amer. Math. Soc. 76, (1954). 66--91.

Fuglede, Bent ; Kadison, Richard V. Determinant theory in finite factors. Ann. of Math. (2) 55, (1952). 520--530.

Kadison, Richard V. A generalized Schwarz inequality and algebraic invariants for operator algebras. Ann. of Math. (2) 56, (1952). 494--503.

Kadison, Richard V. ; Singer, I. M. Some remarks on representations of connected groups. Proc. Nat. Acad. Sci. U. S. A. 38, (1952). 419--423.

Kadison, Richard V. Infinite unitary groups. Trans. Amer. Math. Soc. 72, (1952). 386--399.

Kadison, Richard V. A representation theory for commutative topological algebra. Mem. Amer. Math. Soc., 1951, (1951). no. 7, 39 pp.

Kadison, Richard V. Isometries of operator algebras. Ann. Of Math. (2) 54, (1951). 325--338.

Fuglede, Bent ; Kadison, Richard V. On determinants and a property of the trace in finite factors. Proc. Nat. Acad. Sci. U. S. A. 37, (1951). 425--431.

Fuglede, Bent ; Kadison, Richard V. On a conjecture of Murray and von Neumann. Proc. Nat. Acad. Sci. U. S. A. 37, (1951). 420--425.

Kadison, Richard V. Order properties of bounded self-adjoint operators. Proc. Amer. Math. Soc. 2, (1951). 505--510.

Kadison, Richard V. A UNIFIED REPRESENTATION THEORY FOR TOPOLOGICAL ALGEBRA. Thesis (Ph.D.)–The University of Chicago. ProQuest LLC, Ann Arbor, MI, 1950. (no paging).