# Errett Bishop: Reflections on Him and His Research

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*Murray Rosenblatt*

This book is the proceedings of the Memorial Meeting for Errett
Bishop, held at the University of California, San Diego, 24 September 1983.

During his early days as a mathematician, Errett Bishop made distinguished
contributions in many branches of analysis—first in operator theory in
Hilbert and Banach spaces, then in the theory of polynomial approximation in
the complex plane and on Riemann surfaces, and thence to his outstanding
research in function algebras. This work in turn led him to his highly
original approach to the theory of functions of several complex variables.

About 1964 Bishop turned his interests toward the foundations of
mathematics. Whereas L. E. J. Brouwer's intuitionism took as basic the
integers and the real numbers, Bishop proposed that the integers are
the only basic, irreducible mathematical construct. His remarkable 1968 book,
“Foundations of Constructive Analysis”, was devoted to the
development of a large part of modern analysis, suitably modified, on this one
concept.

The object of the present book is to present a view of Errett Bishop, who
died suddenly in 1983 at the age of 54, as a human being, a colleague, and a
mathematician. An eloquent statement of his philosophy is contained in his
paper, “Schizophrenia in Contemporary Mathematics”, which resulted
from his AMS Colloquium Lectures in 1973 and which occupies about one-third of
the book.

# Table of Contents

## Errett Bishop: Reflections on Him and His Research

- Contents vii8 free
- Preface ix10 free
- Association of Authors xi12 free
- Vita of Errett Bishop xiii14 free
- Publications of Errett Bishop xv16 free
- Schizophrenia in Contemporary Mathematics 120 free
- Errett Bishop - In Memoriam 3352
- The Work of Errett Bishop in Several Complex Variables 4160
- Recollections 5170
- Aspects of Constructive Analysis 5776
- The Work of Errett Bishop and Uniform Algebras 6584
- Remembrances of Errett Bishop 7998
- On Bishop's Hahn-Banach Theorem 85104