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

Paul Richard Halmos, who lived a lifetime of unbounded devotion to arithmetic and to the mathematical group, died on the age of ninety on October 2, 2006. This quantity is a memorial to Paul through operator theorists he encouraged. Paul’sinitial research,beginning along with his 1938Ph.D. thesis on the collage of Illinois lower than Joseph Doob, used to be in likelihood, ergodic thought, and degree idea. A shift happened within the Nineteen Fifties whilst Paul’s curiosity in foundations led him to invent a subject matter he termed algebraic good judgment, leading to a succession of papers on that topic showing among 1954 and 1961, and the publication Algebraic common sense, released in 1962. Paul’s ?rst papers in natural operator concept seemed in 1950. After 1960 Paul’s study interested in Hilbert house operators, a subject matter he considered as enc- passing ?nite-dimensional linear algebra. past his examine, Paul contributed to arithmetic and to its neighborhood in manifold methods: as a well known expositor, as an cutting edge instructor, as a tireless editor, and during unstinting carrier to the yank Mathematical Society and to the Mathematical organization of the USA. a lot of Paul’s in?uence ?owed at a private point. Paul had a real, uncalculating curiosity in humans; he built an immense variety of friendships through the years, either with mathematicians and with nonmathematicians. lots of his mathematical pals, together with the editors ofthisvolume,whileabsorbingabundantquantitiesofmathematicsatPaul’sknee, discovered from his suggestion and his instance what it capacity to be a mathematician.

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