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.
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