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

By Sheldon Axler, Peter Rosenthal, Donald Sarason

The e-book is a commemorative quantity honoring the mathematician Paul R. Halmos (1916-2006), who contributed passionately to arithmetic in manifold methods, between them via uncomplicated study, via exceptional mathematical exposition, by way of unselfish provider to the mathematical group, and, no longer least, by way of the muse others present in his commitment to that community.Halmos made primary contributions in numerous parts of arithmetic. This quantity emphasises Halmos's contributions to operator idea, his venue for many of his mathematical lifestyles. The middle of the quantity is a chain of expository articles through sought after operator theorists offering an outline of the way operator conception prospered in the course of the Halmos period, in no small degree because of Halmos's management and penetrating insights.

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

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I firmly believe that the latter method teaches more and teaches better. Some of the material doesn’t get covered but a lot of it gets discovered (a telling old pun that deserves to be kept alive), and the method thereby opens doors whose very existence might never have been suspected behind a solidly built structure of settled facts. As for the Weierstrass M -test, or whatever was given short shrift in class—well, books and journals do exist, and students have been known to read them in a pinch.

2nd ed. The University Series in Undergraduate Mathematics. D. , Princeton–Toronto–New York–London, 1958. Reprinted by Springer–Verlag, New York–Heidelberg, 1974, in the series Undergraduate Texts in Mathematics. Paul R. Halmos. Naive Set Theory. The University Series in Undergraduate Mathematics, D. Van Nostrand Company, Princeton–Toronto–London–New York, 1960. Reprinted by Springer–Verlag, New York–Heidelberg, 1974, in the series Undergraduate Texts in Mathematics. Paul R. Halmos. Algebraic Logic.

J. Math. 64 (1942), 153–166. (1942-3) On monothetic groups. Proc. 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.

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