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

By Sheldon Axler,Peter Rosenthal,Donald Sarason

Paul Richard Halmos, who lived a lifetime of unbounded devotion to arithmetic and to the mathematical neighborhood, 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 college of Illinois below Joseph Doob, used to be in chance, ergodic conception, and degree thought. A shift happened within the Fifties whilst Paul’s curiosity in foundations led him to invent a subject matter he termed algebraic common sense, leading to a succession of papers on that topic showing among 1954 and 1961, and the ebook Algebraic common sense, released in 1962. Paul’s ?rst papers in natural operator idea seemed in 1950. After 1960 Paul’s learn all in favour of Hilbert area operators, a topic he seen as enc- passing ?nite-dimensional linear algebra. past his learn, Paul contributed to arithmetic and to its neighborhood in manifold methods: as a popular expositor, as an cutting edge instructor, as a tireless editor, and during unstinting provider to the yank Mathematical Society and to the Mathematical organization of the United States. a lot of Paul’s in?uence ?owed at a private point. Paul had a real, uncalculating curiosity in humans; he built an incredible variety of friendships through the years, either with mathematicians and with nonmathematicians. a lot of his mathematical buddies, together with the editors ofthisvolume,whileabsorbingabundantquantitiesofmathematicsatPaul’sknee, discovered from his recommendation and his instance what it capability to be a mathematician.

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