## 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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