Wilhelmus Luxembourg

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Wilhelmus Anthonius Josephus "Wim" Luxemburg (born April 11, 1929 in Delft ; † October 2, 2018 ) was a Dutch mathematician who dealt with functional analysis . He was a professor at Caltech .

Luxemburg studied at the University of Leiden with a diploma in 1950 and received her doctorate in 1955 from the Technical University of Delft with Adriaan Cornelis Zaanen (Banach Function Spaces). As a post-doctoral student he was at Queen's University in Canada and from 1956 Assistant Professor at the University of Toronto . In 1958 he became Assistant Professor, 1960 Associate Professor and 1962 Professor at Caltech. In 2000 he was retired.

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

He was a Fellow of the American Mathematical Society and from 1974 a corresponding member of the Royal Netherlands Academy of Sciences (KNAW).

Fonts

  • with Adriaan Zaanen: Riesz Spaces , 2 volumes, North Holland 1971, 1983
  • with A. Robinson: Contributions to non-Standard Analysis , North Holland 1972
  • 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, pp. 18-86

Web links

Individual evidence

  1. Life data according to American Men and Women of Science , Thomson Gale 2004
  2. Caltech Mourns the Passing of Wilhelmus AJ Luxemburg , accessed on October 3, 2018
  3. Wilhelmus Luxemburg in the Mathematics Genealogy Project (English)Template: MathGenealogyProject / Maintenance / id used
  4. Corresponding Members: WAJ Luxembourg. KNAW, accessed November 14, 2017 .