John B. Conway

John Bligh Conway ( born September 22, 1939 in New Orleans, Louisiana) is an American mathematician who deals with analysis and especially functional analysis.

Conway graduated from Loyola University with a bachelor's degree in 1961 and in 1965 at Heron Collins at Louisiana State University PhD (The strict topology and compactness in the space of measures ). After that, he was a professor at Indiana University in Bloomington and from 1990 he was professor at the University of Tennessee, where he was Chairman of the Mathematics Faculty.

He was a visiting professor at the Free University of Amsterdam (1972 ), at the University of Berkeley (1986) and the University of Grenoble (1981).

It deals with bounded operators on Hilbert spaces, especially in the context of analytic functions and applications in function theory. In particular, he was concerned with subnormal operators, ie Limitations of normal operators on invariant subspaces of a Hilbert space. He wrote a much-used in the United States function theory textbook.

Writings

• Functions of one complex variable, Graduate Texts in Mathematics, Springer Verlag 1978
• A Course in Functional Analysis, Springer Verlag 1997
• The theory of subnormal operators, American Mathematical Society 1991
• Subnormal Operators, Pitman 1981
• On being a department head: a personal view, American Mathematical Society 1996