Richard Friederich Arens

Richard Friederich Arens ( born April 24, 1919 in Iserlohn, † 3 May 2000 Los Angeles ) was a German-born American mathematician.

Life

Arens came in 1925 in the United States. He studied from 1937, first at the University of California, Los Angeles ( UCLA), in 1940 at Harvard University, Massachusetts. There he received his doctorate with a thesis on " Topologies for Spaces of Transformations" at Garrett Birkhoff and then went to the Institute for Advanced Study in Princeton, New Jersey. Since 1947, Arens worked on the mathematical faculty of UCLA, where he remained until his retirement in 1989.

His areas were functional analysis, Banach algebras, theory of functions of several variables, Geometric quantization and differential geometric aspects of classical field theories.

Since 1965, Arens was co-editor of the Pacific Journal of Mathematics, 1973-1979 Managing Editor.

The terms Arens product, set of Mackey - Arens, Arens- Michael decomposition and Arens- Fort space are connected with his name.