Richard Kadison's publications

We list below publications by Richard Kadison:


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

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

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

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

  5. Richard V Kadison, A representation theory for commutative topological algebra, Mem. Amer. Math. Soc. 1951 (7) (1951), 39 pages.

  6. Richard V Kadison, Review: Linear Transformations in n-Dimensional Vector Space, by H L Hamburger and M E Grimshaw, Amer. Math. Monthly 59 (9) (1952), 650-652.

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

  24. James G Glimm and Richard V Kadison, Unitary operators in C"-algebras, Pacific J. Math. 10 (1960), 547-556.

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

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

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

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

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

  30. Richard V Kadison, Review: Mathematical Foundations of Quantum Mechanics, by George W Mackey, Amer. Math. Monthly 72 (1) (1965), 96-97.

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

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

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

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

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

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

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

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

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

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

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

  42. Richard V Kadison and Gert Kjaerg'rd Pedersen, Equivalence in operator algebras, Math. Scand. 27 (1970), 205-222.

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

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

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

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

  47. Richard V Kadison, Review: C*-Algebras and W*-Algebras, by Shoichiro Sakai, American Scientist 61 (1) (1973), 102.

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

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

  50. Richard V Kadison, Review: The structure of factors, by Salvatore Anastasio, Bull. Amer. Math. Soc. 81 (3) (1975), 522-527.

  51. Richard V Kadison, Notes on the Fermi gas, in 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 (Academic Press, London, 1976), 425-431.

  52. Richard V Kadison, Review: Dilatations of Irreversible Evolutions in Algebraic Quantum Theory, by D E Evans and J T Lewis, American Scientist 66 (5) (1978), 635.

  53. Richard V Kadison, Similarity of operator algebras, Acta Math. 141 (3-4) (1978), 147-163.

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

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

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

  57. Richard V Kadison, Limits of states, Comm. Math. Phys. 85 (1) (1982), 143-154.

  58. Richard V Kadison, Diagonalizing matrices over operator algebras, Bull. Amer. Math. Soc. (N.S.) 8 (1) (1983), 84-86.

  59. Richard V Kadison and John R Ringrose, Fundamentals of the theory of operator algebras. Vol. I. Elementary theory. Pure and Applied Mathematics 100 (Academic Press, Inc. and Harcourt Brace Jovanovich, Publishers, New York, 1983), 398 pages.

  60. Richard V Kadison, Diagonalizing matrices, Amer. J. Math. 106 (6) (1984), 1451-1468.

  61. Richard V Kadison and Gert K Pedersen, Means and convex combinations of unitary operators, Math. Scand. 57 (2) (1985), 249-266.

  62. Richard V Kadison, The von Neumann algebra characterization theorems, Exposition. Math. 3 (3) (1985), 193-227.

  63. Richard V Kadison and John R Ringrose, Fundamentals of the theory of operator algebras. Vol. II. Advanced theory. Pure and Applied Mathematics 100 (Academic Press, Inc., Orlando, FL, 1986), i-xiv; 399-1074.

  64. Richard V Kadison, Algebras of unbounded functions and operators, Exposition. Math. 4 (1) (1986), 3-33.

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

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

  67. Richard V Kadison, Local derivations, J. Algebra 130 (2) (1990), 494-509. 

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

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

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

  71. Richard V Kadison and John R Ringrose, Fundamentals of the theory of operator algebras. Vol. III. Special topics. Elementary theory - an exercise approach (Birkhäuser Boston, Inc., Boston, MA, 1991), 273 pages.

  72. Richard V Kadison, A note on the similarity problem, J. Operator Theory 26 (2) (1991), 389-405.

  73. Richard V Kadison and John R Ringrose, Fundamentals of the theory of operator algebras. Vol. IV. Special topics. Advanced theory - an exercise approach (Birkhäuser Boston, Inc., Boston, MA, 1992), i-xv; 274-859.

  74. Richard V Kadison, On an inequality of Haagerup-Pisier, J. Operator Theory 29 (1) (1993), 57-67.

  75. Richard V Kadison, Review: Operator algebras in dynamical systems, by Shoichiro Sakai, Bull. Amer. Math. Soc. (N.S.) 28 (1) (1993), 133-136.

  76. Richard V Kadison, Strategies in the secretary problem, Exposition. Math. 12 (2) (1994), 125-144.

  77. Richard V Kadison, Notes on the Gel'fand-Neumark theorem, in C*-algebras: 1943-1993, San Antonio, TX, 1993, Contemp. Math. 167 (Amer. Math. Soc., Providence, RI, 1994), 20-53.

  78. Lawrence A Harris and Richard V Kadison, Affine mappings of invertible operators, Proc. Amer. Math. Soc. 124 (8) (1996), 2415-2422. 

  79. Lawrence A Harris and Richard V Kadison, Schurian algebras and spectral additivity, J. Algebra 180 (1) (1996), 175-186.

  80. Mogens L Hansen and Richard V Kadison, Banach algebras with unitary norms, Pacific J. Math. 175 (2) (1996), 535-552.

  81. Richard V Kadison and John R Ringrose, 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), 398 pages.

  82. Richard V Kadison and John R Ringrose, 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), i-xxii; 399-1074.

  83. Richard V Kadison, On representations of finite type, Proc. Natl. Acad. Sci. U.S.A. 95 (23) (1998), 13392-13396.

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

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

  86. Richard V Kadison, The Pythagorean theorem. II. The infinite discrete case, Proc. Natl. Acad. Sci. U.S.A. 99 (8) (2002), 5217-5222.

  87. Richard V Kadison, The Pythagorean theorem. I. The finite case, Proc. Natl. Acad. Sci. U.S.A. 99 (7) (2002), 4178-4184.

  88. Richard V Kadison, On the early work of I E Segal, Special issue dedicated to the memory of I E Segal, J. Funct. Anal. 190 (1) (2002), 15-18.

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

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

  91. Uffe Haagerup, Richard V Kadison and Gert K Pedersen, Means of unitary operators, revisited, Math. Scand. 100 (2) (2007), 193-197.

  92. Richard V Kadison, Irving Kaplansky's role in mid-twentieth century functional analysis, Notices Amer. Math. Soc. 55 (2) (2008), 216-225.

  93. Richard V Kadison, A note on projection equivalence in von Neumann algebras, C. R. Math. Acad. Sci. Soc. R. Can. 31 (1) (2009), 1-6.

JOC/EFR January 2019

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