Involution similarity preserving linear maps

DOI10.4064/sm180311-5-7zbMath1440.47029OpenAlexW2942215137WikidataQ128003029 ScholiaQ128003029MaRDI QIDQ5237160

Zijie Qin, Fangyan Lu

Publication date: 16 October 2019

Published in: Studia Mathematica (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.4064/sm180311-5-7

zbMATH Keywords

Banach spacelinear preserverinvolutionLie isomorphismJordan isomorphism$p$-similarity

Mathematics Subject Classification ID

Linear transformations, semilinear transformations (15A04) Algebras of operators on Banach spaces and other topological linear spaces (47L10) Transformers, preservers (linear operators on spaces of linear operators) (47B49) Linear preserver problems (15A86) Operators on Banach spaces (47B01)

Related Items (4)

Linear maps preserving equivalence or asymptotic equivalence on Banach space ⋮ Maps preserving equivalence by products of involutions ⋮ Similarity preserving linear maps on \(\mathscr{J}\)-subspace lattice algebras ⋮ Similarity Jordan multiplicative maps

Cites Work

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• A note on similarity preserving linear maps on matrices
• Maps preserving the nilpotency of products of operators
• Maps preserving Lie product on \(B(X)\)
• Similarity preserving linear maps on matrices
• Linear transformations that preserve the nilpotent matrices
• Products of involutions
• Similarity-preserving linear maps on \({\mathcal B}({\mathcal H})\)
• Jordan Homomorphisms Onto Prime Rings
• Derivations mapping into the socle, III
• Linear mappings preserving similarity on B(H)
• Similarity-preserving linear maps on B(X)

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