PAUL HALMOS Celebrating 50 Years of Mathematics: Celebrating 50 Years of Mathematics

Front Cover
Springer Science & Business Media, 1991 M05 20 - 320 pages
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.
 

Contents

Interviews by Donald J Albers
3
Maverick Mathologist A DOWNWARDBOUND PHILOSOPHER
5
In Touch with God THE BEST PART
21
Paul Halmoss Expository Writing
33
Words More than Numbers
49
Bibliography of Paul Halmos
61
The Way It Was
71
Through the Years
72
Being Professional
143
Reflections of a Department Chair
149
Some Mathematics
153
Paul Halmos and the Progress of Operator Theory
155
Characteristic Classes and Characteristic Forms
169
Equivalents of the Invariant Subspace Problem
179
Probability vs Measure
189
New Hilbert Spaces from Old
195

Paul Halmos as Graduate Student
75
Early Days at Mathematical Reviews
79
Reminiscences
87
Writing Mathematics
91
Some Early Memories Around Paul Halmos
97
Recollections of PR Halmos at Chicago
103
Reminiscences of Chicago in the Fifties
109
Reflections on Graduate Education
119
Michigan Years
127
Walking and Talking with Halmos
133
Some Universal Constraints for Discrete Mobius Groups
205
Noncommutative Variations on Theorems of Marcel Riesz and Others
221
On Products of Involutions
237
Paul Halmos and Toeplitz Operators
257
Lebesgues Fundamental Theorem of Calculus Revisited
265
An Informal Autobiographical History of Combinatorial Games
287
Quantification Theory in a Nutshell
297
The Legendre Relation for Elliptic Integrals
305
Index of Names
317
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