Errett Bishop
Errett Albert Bishop (born July 24, 1928 in Newton , Kansas , † April 14, 1983 in San Diego , California ) was an American mathematician who is known for the development of constructive analysis .
Life
His father Albert T. Bishop was a mathematics professor, most recently at Wichita State University , and died early in 1933. Bishop studied (like his sister Mary Catherine Bishop Weiss, who was also mathematically gifted ) his father's books and began studying mathematics in 1944 at the University of Chicago graduated with a bachelor's and master's degree in 1947. He began studying for a doctorate with Paul Halmos , interrupted from 1950 to 1952 by military service, which he mainly performed at the National Bureau of Standards with mathematical research. In 1954 he received his doctorate at Halmos with the thesis Spectral Theory of Operations on Banach Spaces . He then became an instructor at the University of California, Berkeley , where he rose to a full professorship. In 1958 he became a Sloan Research Fellow . In 1964/65 he was at the Miller Institute of Basic Research in Berkeley. In 1965 he became a professor at the University of California, San Diego , where he stayed for the remainder of his career. In 1982 he got cancer and died the following year.
He dealt with approximation by polynomials and rational functions , algebras of functions ( Bishop's theorem ), theory of Banach spaces and operator theory ( Bishop-Phelps theorem (convexity in Banach spaces) , Bishop-Rand ), Choquet theory ( Bishop's theorem) de Leeuw ) as well as with function theory in several complex variables . He also worked in the fields of constructive mathematics and intuitionism , which he had been doing since his sabbatical at the Miller Institute in 1964. He laid out his structure of analysis with intuitionist methods (which did not follow L. E. J. Brouwer in all points ) in a book in 1967. Shortly before his death, he worked on a revised version, which was completed by Douglas Bridges and published in 1985. He extended his constructivist structure of mathematics, for example, to measure theory .
In 1966 he was invited speaker at the International Congress of Mathematicians in Moscow (The constructivization of abstract mathematical analysis). In 1971 he was elected to the American Academy of Arts and Sciences .
Fonts
- Selected Papers , World Scientific 1986
- Foundations of constructive analysis , Academic Press 1967
- with Douglas Bridges Constructive Analysis , Springer Verlag, Grundlehren der Mathematischen Wissenschaften , 1985
- with Henry Cheng Constructive Measure Theory , American Mathematical Society 1972
literature
- Murray Rosenblatt (Ed.) Errett Bishop- reflections on on him and his research. Proceedings of the memorial meeting for Errett Bishop held at the University of California-San Diego, September 24, 1983 , American Mathematical Society, Contemporary Mathematics, Volume 39, 1985 (including Bishop's AMS Colloquium Lecture: Schizophrenia in contemporary mathematics )
- Douglas Bridges Constructive Mathematics , Stanford Encyclopedia of Philosophy
Web links
- John J. O'Connor, Edmund F. Robertson : Errett Bishop. In: MacTutor History of Mathematics archive .
Individual evidence
- ↑ Errett Albert Bishop in the Mathematics Genealogy Project (English)
- ^ E. Bishop, K. de Leeuw: The representation of linear functionals by measures on sets of extreme points , Ann. Inst. Fourier (Grenoble) 1959, volume 9, pages 305-331
| personal data | |
|---|---|
| SURNAME | Bishop, Errett |
| ALTERNATIVE NAMES | Bishop, Errett Albert (full name) |
| BRIEF DESCRIPTION | American mathematician |
| DATE OF BIRTH | July 24, 1928 |
| PLACE OF BIRTH | Newton , Kansas |
| DATE OF DEATH | April 14, 1983 |
| Place of death | San Diego , California |