Author(s): 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 90 on October 2, 2006. This quantity is a memorial to Paul through operator theorists he impressed. Paulsinitial analysis,starting together with his 1938Ph.D. thesis on the University of Illinois below Joseph Doob, was once in likelihood, ergodic idea, and measure idea. A shift befell within the 1950s when Pauls pastime in foundations led him to invent a subject matter he termed algebraic good judgment, leading to a succession of papers on that topic showing between 1954 and 1961, and the guide Algebraic Logic, revealed in 1962. Pauls ?rst two papers in natural operator idea gave the impression in 1950. After 1960 Pauls analysis all in favour of Hilbert area operators, a subject matter he considered as enc- passing ?nite-dimensional linear algebra. Beyond his analysis, Paul contributed to arithmetic and to its neighborhood in manifold tactics: as a famend expositor, as an leading edge trainer, as a tireless editor, and thru unstinting carrier to the American Mathematical Society and to the Mathematical Association of America. Much of Pauls in?uence ?owed at a private degree. Paul had a real, uncalculating pastime in other folks he advanced a huge selection of friendships over time, each with mathematicians and with nonmathematicians. Many of his mathematical buddies, together with the editors ofthisvolume,whileabsorbingabundantquantitiesofmathematicsatPaulsknee, realized from his recommendation and his instance what it way to be a mathematician.