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

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 by way of operator theorists he encouraged. Paul’sinitial research,beginning along with his 1938Ph.D. thesis on the college of Illinois less than Joseph Doob, was once in likelihood, ergodic idea, and degree concept. A shift happened within the Nineteen Fifties while Paul’s curiosity in foundations led him to invent an issue he termed algebraic good judgment, leading to a succession of papers on that topic showing among 1954 and 1961, and the booklet Algebraic common sense, released in 1962. Paul’s ?rst papers in natural operator conception seemed in 1950. After 1960 Paul’s examine all for Hilbert house operators, a subject matter 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 well known 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 a massive variety of friendships through the years, either with mathematicians and with nonmathematicians. lots of his mathematical acquaintances, together with the editors ofthisvolume,whileabsorbingabundantquantitiesofmathematicsatPaul’sknee, discovered from his suggestion and his instance what it ability to be a mathematician.

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A Glimpse at Hilbert Space Operators: Paul R. Halmos in Memoriam: 207 (Operator Theory: Advances and Applications) by Sheldon Axler,Peter Rosenthal,Donald Sarason


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