Download e-book for kindle: A Glimpse at Hilbert Space Operators: Paul R. Halmos in by Sheldon Axler, Peter Rosenthal, Donald Sarason

By Sheldon Axler, Peter Rosenthal, Donald Sarason

ISBN-10: 3034603460

ISBN-13: 9783034603461

The publication is a commemorative quantity honoring the mathematician Paul R. Halmos (1916-2006), who contributed passionately to arithmetic in manifold methods, between them by means of easy learn, by means of unprecedented mathematical exposition, by means of unselfish carrier to the mathematical group, and, no longer least, by means of the muse others present in his commitment to that community.Halmos made basic contributions in different parts of arithmetic. This quantity emphasises Halmos's contributions to operator thought, his venue for many of his mathematical lifestyles. The middle of the quantity is a chain of expository articles by means of renowned operator theorists supplying an outline of ways operator conception prospered in the course of the Halmos period, in no small degree due to Halmos's management and penetrating insights.

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1995-1) To count or to think, that is the question. Nieuw Arch. Wisk. (4) 13 (1995), 61–76. (2000-1) An autobiography of polyadic algebras. Log. J. IGPL 8 (2000), 383–392. Books Paul R. Halmos. Finite Dimensional Vector Spaces. Annals of Mathematics Studies, no. 7. Princeton University Press, Princeton, NJ, 1942. Paul R. Halmos. Measure Theory. D. , New York, NY, 1950. Paul R. Halmos. Introduction to Hilbert Space and the Theory of Spectral Multiplicity. Chelsea Publishing Company, New York, NY, 1951.

Of Math. (2) 48 (1947), 735–754. (1947-3) Functions of integrable functions. J. Indian Math. Soc. ) 11 (1947), 81–84. (1948-1) The range of a vector measure. Bull. Amer. Math. Soc. 54 (1948), 416–421. (1949-1) On a theorem of Dieudonn´e. Proc. Nat. Acad. Sci. A. 35 (1949), 38–42. (1949-2) A nonhomogeneous ergodic theorem. Trans. Amer. Math. Soc. 66 (1949), 284–288. (1949-3) Application of the Radon–Nikodym theorem to the theory of sufficient statistics. Ann. Math. J. Savage). (1949-4) Measurable transformations.

Math. Soc. 55 (1949), 1015–1034. (1950-1) The marriage problem. Amer. J. Math. E. Vaughan). (1950-2) Commutativity and spectral properties of normal operators. Acta Sci. Math. Szeged 12 (1950), 153–156. (1950-3) Normal dilations and extensions of operators. Summa Brasil. Math. 2 (1950), 125–134. (1952-1) Commutators of operators. Amer. J. Math. 74 (1952), 237–240. (1952-2) Some present problems on operators in Hilbert space (Spanish). Symposium sobre algunos problemas matem´aticos se estan estudiando en Latino Am´erica, Diciembre, 1951, pp.

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A Glimpse at Hilbert Space Operators: Paul R. Halmos in Memoriam by Sheldon Axler, Peter Rosenthal, Donald Sarason

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