Errett Bishop
Errett Albert Bishop ( born July 24, 1928 in Newton, Kansas, † 14 April 1983 in San Diego, California ) was an American mathematician who is known for the development of a Constructive Analysis.
Life
His father Albert T. Bishop was a professor of mathematics, at last at Wichita State University, and died early in 1933. Bishop studied (as well as his equally mathematically early gifted sister Mary ) the books of his father and began in 1944 to study mathematics at the University of Chicago with the Bachelor's and Master 's degree in 1947. he began his doctoral studies with Paul Halmos, interrupted from 1950 to 1952 from military service, he performed mostly at the National Bureau of Standards with mathematical research. In 1954 he received his doctorate in Halmos with the work Spectral Theory of Banach Spaces Operations on. He then became instructor at the University of California, Berkeley, where he rose up to a full professorship. 1964/65 he was in Berkeley at the Miller Institute of Basic Research. In 1965 he became a professor at the University of California, San Diego, where he remained for the rest of his career. In 1982, he became ill with cancer and died the following year.
He dealt with approximation by polynomials and rational functions, algebra of functions, Banach spaces and theory of operators, several complex variables and constructive mathematics ( intuitionism ), with which he occupied himself since his sabbatical year at the Miller Institute in 1964. He put his construction of analysis with intuitionistic methods (which is not followed in all respects L. E. J. Brouwer ) in a book in 1967 dar. Shortly before his death he was working on a revised version, which was completed by Douglas Bridges and published in 1985. He extended his constructivist construction of mathematics also, 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 ). The set of Bishop -de Leeuw is associated with his name.
Writings
- Selected Papers, World Scientific 1986
- Foundations of constructive analysis, Academic Press 1967
- With Douglas Bridges Constructive Analysis, Springer Verlag, basic teachings of Mathematical Sciences, 1985
- Henry Cheng Constructive Measure Theory, American Mathematical Society 1972