Browsing by UP Author "Wortel, Marten"

Browsing by UP Author "Wortel, Marten"

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  • Equivalence after extension and Schur coupling coincide for inessential operators 
    Ter Horst, Sanne; Messerschmidt, Miek; Ran, A.C.M.; Roelands, Mark; Wortel, Marten (Elsevier, 2018-10)
    In recent years the coincidence of the operator relations equivalence after extension (EAE) and Schur coupling (SC) was settled for the Hilbert space case. For Banach space operators, it is known that SC implies EAE, but ...
  • Hilbert and Thompson isometries on cones in JB-algebras 
    Lemmens, Bas; Roelands, Mark; Wortel, Marten (Springer, 2019-08)
    Hilbert’s and Thompson’s metric spaces on the interior of cones in JB-algebras are important examples of symmetric Banach-Finsler spaces. In this paper we characterize the Hilbert’s metric isometries on the interiors of ...
  • Hilbert isometries and maximal deviation preserving maps on JB-algebras 
    Roelands, Mark; Wortel, Marten (Elsevier, 2019-08)
    In this paper we characterize the surjective linear variation norm isometries on JB-algebras. Variation norm isometries are precisely the maps that preserve the maximal deviation, the quantum analogue of the standard ...
  • Lexicographic cones and the ordered projective tensor product 
    Wortel, Marten (Springer, 2019-08)
    We introduce lexicographic cones, a method of assigning an ordered vector space Lex(S) to a poset S, generalising the standard lexicographic cone. These lexicographic cones are then used to prove that the projective tensor ...
  • Order isomorphisms on order intervals of atomic JBW-algebras 
    Roelands, Mark; Wortel, Marten (Springer, 2020-07)
    In this paper a full description of order isomorphisms between effect algebras of atomic JBW-algebras is given. We will derive a closed formula for the order isomorphisms on the effect algebra of type I factors by proving ...
  • A surjective summation operator with no Lipschitz right inverse 
    Laustsen, Niels Jakob; Messerschmidt, Miek; Wortel, Marten (American Mathematical Society, 2024-01)
    We show that there exists a Banach space X which contains closed subspaces Y and Z with Y+Z=X such that the associated surjective summation operator Σ: Y×Z→X defined by Σ(y,z)= y+z for y∈Y and z∈Z has no Lipschitz right inverse.