Determinant preserving maps: an infinite dimensional version of a theorem of Frobenius

DOI10.1080/03081087.2016.1185082zbMath1422.47043OpenAlexW2406939245MaRDI QIDQ2961475

Gergő Nagy

Publication date: 20 February 2017

Published in: Linear and Multilinear Algebra (Search for Journal in Brave)

Full work available at URL: http://real.mtak.hu/38760/1/det.pdf

zbMATH Keywords

positive definite matricesFredholm determinantFrobenius theorempositive semidefinite matricestrace class operatorspreserver problems

Mathematics Subject Classification ID

Linear operators belonging to operator ideals (nuclear, (p)-summing, in the Schatten-von Neumann classes, etc.) (47B10) Positive matrices and their generalizations; cones of matrices (15B48) Transformers, preservers (linear operators on spaces of linear operators) (47B49)

Related Items (1)

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

Cites Work

• Unnamed Item
• Symmetries on bounded observables: a unified approach based on adjacency preserving maps
• Polynomial identification in uniform and operator algebras
• Selected preserver problems on algebraic structures of linear operators and on function spaces
• Spectrum-preserving linear maps
• On determinant preserver problems
• Determinant preserving maps on matrix algebras
• Additive mappings preserving operators of rank one
• Matrix Analysis
• Determinant preserving transformations on symmetric matrix spaces

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