On a class of determinant preserving maps for finite von Neumann algebras

DOI10.1016/j.jmaa.2018.04.006zbMath1404.46051arXiv1711.08786OpenAlexW2768252298WikidataQ130020380 ScholiaQ130020380MaRDI QIDQ1748310

Marcell Gaál, Soumyashant Nayak

Publication date: 9 May 2018

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1711.08786

zbMATH Keywords

linear preserverMinkowski inequalityJordan homomorphismKadison-Fuglede determinant

Mathematics Subject Classification ID

General theory of von Neumann algebras (46L10) Transformers, preservers (linear operators on spaces of linear operators) (47B49)

Related Items (2)

Maps on positive cones of \(C^*\)-algebras ⋮ Jordan isomorphisms as preservers

Cites Work

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• Trace and determinant preserving maps of matrices
• On determinant preserver problems
• Determinant preserving maps on matrix algebras
• The Hadamard determinant inequality -- extensions to operators on a Hilbert space
• On the standard K-loop structure of positive invertible elements in a \(C^\ast\)-algebra
• Anti-norms on finite von Neumann algebras
• On linear transformations which preserve the determinant
• Determinant theory in finite factors
• A generalized Schwarz inequality and algebraic invariants for operator algebras
• Determinant preserving maps: an infinite dimensional version of a theorem of Frobenius
• Spectrum-Preserving Linear Mappings between Banach Algebras or Jordan-Banach Algebras
• Jordan Homomorphisms
• Analyticity in Operator Algebras
• Spectral theory

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