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

By Sheldon Axler, Peter Rosenthal, Donald Sarason

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 extraordinary mathematical exposition, through unselfish provider to the mathematical group, and, no longer least, through the foundation others present in his commitment to that community.Halmos made basic contributions in numerous parts of arithmetic. This quantity emphasises Halmos's contributions to operator thought, his venue for many of his mathematical existence. The middle of the amount is a sequence of expository articles by way of in demand operator theorists supplying an summary of the way operator idea prospered in the course of the Halmos period, in no small degree due to Halmos's management and penetrating insights.

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A Glimpse at Hilbert Space Operators: Paul R. Halmos in Memoriam

The booklet is a commemorative quantity honoring the mathematician Paul R. Halmos (1916-2006), who contributed passionately to arithmetic in manifold methods, between them through simple learn, through extraordinary mathematical exposition, through unselfish carrier to the mathematical group, and, no longer least, through the muse others present in his commitment to that neighborhood.

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Math. Statistics 17 (1946), 34–43. (1946-2) An ergodic theorem. Proc. Nat. Acad. Sci. A. 32 (1946), 156–161. (1947-1) On the set of values of a finite measure. Bull. Amer. Math. Soc. 53 (1947), 138–141. (1947-2) Invariant measures. Ann. 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.

207, 27–29 c 2010 Springer Basel AG Obituary: Paul Halmos, 1916–2006 Heydar Radjavi and Peter Rosenthal Paul Halmos, one of the most influential mathematicians of the last half of the twentieth century, died at the age of ninety on October 2, 2006. ” Paul did love mathematics. He loved thinking about it, talking about it, giving lectures and writing articles and books. Paul also loved language, almost as much as he loved mathematics. That is why his books and expository articles are so wonderful.

Nat. Acad. Sci. A. 28 (1942), 254–258 (with H. Samelson). (1942-4) Operator models in classical mechanics. II. Ann. of Math. (2) 43 (1942), 332–350 (with J. von Neumann). (1943-1) On automorphisms of compact groups. Bull. Amer. Math. Soc. 49 (1943), 619–624. (1944-1) Approximation theories for measure preserving transformations. Trans. Amer. Math. Soc. 55 (1944), 1–18. (1944-2) Random alms. Ann. Math. Statistics 15 (1944), 182–189. (1944-3) The foundations of probability. Amer. Math. Monthly 51 (1944), 493–510.

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