Dr M (Marten) Wortel


Tel: +27 12 420 2525
E-mail: [email protected]
Position: Senior Lecturer
Office: Botany 2-11

Academic qualifications: BSc, MSc in Mathematics (Delft University of Technology), PhD (Leiden University), both in the Netherlands

Fields of interest:  Functional analysis, Ordered vector spaces, Operator algebras, Metric geometry

Research interests: Positive representations of groups in ordered vector spaces, Tensor products of ordered vector spaces, Jordan algebras and their isometries, Isometries of Hilbert's metric spaces, Order isomorphisms of subsets of ordered vector spaces, Order unit spaces

NRF Rating: C1

Publications over the past five years

Laustsen NJ, Messerschmidt M and Wortel M, A surjective summation operator with no Lipschitz right inverse. Proceedings of the American Mathematical Society 152(2024), 253-266

Roelands M and Wortel M Order Isomorphisms on Order Intervals of Atomic JBW-Algebras. Integr. Equ. Oper. Theory 92(2020) 33:1-20

Lemmens B, Roelands M, Wortel M Hilbert,Thompson isometries on cones in JB-algebras. Mathematische Zeitschrift 292(2019), 1511-1547

Roelands M, Wortel M Hilbert isometries and maximal deviation preserving maps on JB-algebras. Advances in Mathematics 352(2019), 836-861

Ter Horst S, Messerschmidt M, Ran ACM, Roelands M, M Wortel M Equivalence after extension and Schur coupling coincide for inessential operators. Indagationes Mathematicae 29(5)(2018), 1350-1361

Lemmens B, Roelands M, Wortel M Isometries of infinite dimensional Hilbert geometries. Journal of Topology and Analysis  10(4)(2018), 941-959

Lemmens B, Lins B, Nussbaum R, Wortel M, Denjoy-Wolff theorems for Hilbert’s and Thompson’s metric spaces. Journal d’Analyse Mathematique (JAMA) 134(2018), 671-718

De Jeu M, Messerschmidt M, Wortel M Crossed products of Banach algebras. II. To appear in Dissertationes Mathematicae

De Jeu M, Wortel M Compact groups of positive operators on Banach lattices. Indagationes Mathematicae, Royal Dutch Mathematical Society, 25(2)(2014), 186-205

De Jeu M, Wortel M Positive representations of finite groups in Riesz spaces. International Journal of Mathematics, 23(7)(2012), 245-272

Dirksen S, De Jeu M, Wortel M Crossed products of Banach algebras. I. To appear in Dissertationes Mathematicae

Book chapters

Wortel M Cones and the Ordered Projective Tensor Product Positivity and Noncommutative Analysis (2019), 601-609

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