Wilhelmus A.J. Luxemburg
Professor of Mathematics, Emeritus

M.S. Mathematics and Physics, University of Leiden, 1953
Ph.D. Mathematics, Technical University Delft, 1955

Research Interests

Functional Analysis, Complex Analysis, Ordered Algebraic Structures, Nonstandard Analysis

Selected Publications

• (with K.D. Stroyan) Introduction to the theory of infinitesimals. Academic Press, New York, 1976, 326 pp.
• (with B. de Pagter and A. Schep) Diagonals of the powers of an operator on a Banach lattice. In "Operator Theory in Function Spaces and Banach Lattices." The A.C. Zaanen Anniversary Volume, Eds. C.B. Huijsmans, M.A. Kaashoek, W.A.J. Luxemburg, and B. de Pagter.  Operator Theory: Advances and Applications 75, 223-273, Birkhäuser-Verlag, Basel-Boston-Berlin, 1995.
• (with B. de Pagter) Invariant means for positive operators and semigroups. In "Circumspice" (papers in and around mathematics honoring Arnoud van Rooij), Nijmegen K. University Press, 31-55, 2001.
• (with M. Goldberg and R. Guralnick) Not all quadrative norms are strongly stable. Indag. Math. (N.S.) 12 (2001), no. 4, 469-476.
• (with M. Väth) The existence of non-trivial bounded functionals implies the Hahn-Banach extension theorem. Z. Anal. Anwendungen 20 (2001), no. 2, 267-279.
• (with B. de Pagter) Maharam extensions of positive operators and f-modules. Positivity 6 (2002), no. 2, 147-190.
• (with F. Jackson) Sundual characterizations of the translation group of R. Proc. Amer. Math. Soc. 131 (2003), no. 1, 185-199
• (with B. de Pagter) Representations of positive projections. 73 pp.  [pdf]  [ps]

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