Read e-book online A Glimpse at Hilbert Space Operators: Paul R. Halmos in 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 via 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 chance, ergodic concept, and degree thought. A shift happened within the Nineteen Fifties whilst Paul’s curiosity in foundations led him to invent an issue he termed algebraic common sense, 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 idea seemed in 1950. After 1960 Paul’s learn eager about Hilbert area operators, a topic he considered as enc- passing ?nite-dimensional linear algebra. past his learn, Paul contributed to arithmetic and to its group in manifold methods: as a well known expositor, as an cutting edge instructor, as a tireless editor, and during unstinting provider to the yankee 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 immense variety of friendships through the years, either with mathematicians and with nonmathematicians. a lot of his mathematical neighbors, together with the editors ofthisvolume,whileabsorbingabundantquantitiesofmathematicsatPaul’sknee, realized from his suggestion and his instance what it skill to be a mathematician.

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