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 via operator theorists he encouraged. Paul’sinitial research,beginning along with his 1938Ph.D. thesis on the college of Illinois below Joseph Doob, was once in chance, ergodic concept, and degree concept. A shift happened within the Fifties whilst Paul’s curiosity in foundations led him to invent a topic he termed algebraic good judgment, leading to a succession of papers on that topic showing among 1954 and 1961, and the ebook Algebraic good judgment, released in 1962. Paul’s ?rst papers in natural operator conception seemed in 1950. After 1960 Paul’s study enthusiastic about Hilbert area operators, a subject matter he seen as enc- passing ?nite-dimensional linear algebra. past his learn, Paul contributed to arithmetic and to its group in manifold methods: as a popular 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 a huge variety of friendships through the years, either with mathematicians and with nonmathematicians. a lot of his mathematical pals, together with the editors ofthisvolume,whileabsorbingabundantquantitiesofmathematicsatPaul’sknee, realized from his recommendation 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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