Paul Halmos: Celebrating 50 Years of Mathematics

ISBN-13: 9780387975092 / Angielski / Twarda / 1991 / 320 str.

John H. Ewing; F. W. Gehring; Paul R. Halmos

Opis

Paul Halmos will celebrate his 75th birthday on the 3rd of March 1991. This volume, from colleagues, is an expression of affection for the man and respect for his contributions as scholar, writer, and teacher. It contains articles about Paul, about the times in which he worked and the places he has been, and about mathematics. Paul has furthered his profession in many ways and this collection reflects that diversity. Articles about Paul are not biographical, but rather tell about his ideas, his philosophy, and his style. Articles about the times and places in which Paul has worked describe people, events, and ways in which Paul has influenced students and colleagues over the past 50 years. Articles about mathematics are about all kinds of mathematics, including operator theory and Paul's research in the subject. This volume represents a slice of mathematical life and it shows how many parts of mathematics Paul has touched. It is fitting that this volume has been produced with the support and cooperation of Springer-Verlag. For over 35 years, Paul has contributed to mathematics publishing as founder and editor of many outstanding series.

Spis treści

Paul Halmos by Parts.- I: Maverick Mathologist.- II: In Touch with God.- Paul Halmos’s Expository Writing.- Paul Halmos: Words More than Numbers.- Bibliography of Paul Halmos.- Paul Halmos: Through the Years (photos).- Paul Halmos as Graduate Student.- Early Days at Mathematical Reviews.- Reminiscences.- Writing Mathematics.- Some Early Memories Around Paul Halmos.- Recollections of P.R. Halmos at Chicago.- Reminiscences of Chicago in the Fifties.- Reflections on Graduate Education.- Michigan Years.- Walking and Talking with Halmos.- Being Professional.- Reflections of a Department Chair.- Paul Halmos and the Progress of Operator Theory.- Characteristic Classes and Characteristic Forms.- Equivalents of the Invariant Subspace Problem.- Probability vs. Measure.- New Hilbert Spaces from Old.- Some Universal Constraints for Discrete Möbius Groups.- Noncommutative Variations on Theorems of Marcel Riesz and Others.- On Products of Involutions.- Paul Halmos and Toeplitz Operators.- Lebesgue’s “Fundamental Theorem of Calculus ”Revisited.- Mathematics from Fun & Fun from Mathematics: An Informal Autobiographical History of Combinatorial Games.- Quantification Theory in a Nutshell.- The Legendre Relation for Elliptic Integrals.- Index of Names.