Wilhelmus Luxemburg

Wilhelmus Josephus Anthonius " Wim " Luxembourg ( born April 11, 1929 in Delft) is a Dutch mathematician who deals with functional analysis. He is a professor at Caltech.

Luxembourg studied at Leiden University with a diploma in 1950 and in 1955 received his doctorate from the Technical University of Delft in Adriaan Cornelis Zaanen ( Banach Function Spaces ). As a post - graduate student, he was at the Canadian Queen's University in 1956 and an assistant professor at the University of Toronto. In 1958 he became assistant professor, associate professor in 1960 and professor in 1962 at Caltech. In 2000 he became Professor Emeritus.

He wrote with his teacher Zaanen a monograph on Riesz spaces, dealt with the theory of Banach spaces and locally convex spaces, measure and integration theory, and in the 1960s with nonstandard analysis ( introduction hyper real numbers with Ultra Powers 1962).

He is a corresponding member of the Royal Netherlands Academy of Sciences.

Writings

• With Adriaan Zaanen: Riesz Spaces, 2 volumes, North Holland 1971, 1983
• With KD Stroyan: Introduction to the theory of infinitesimals, Academic Press 1976
• A general theory of monads, in: Applications of Model Theory to Algebra, Analysis, and Probability (International Symposium, Pasadena, California, 1967). Holt, Rinehart and Winston 1969, p 18-86