Fixed product preserving mappings on Banach algebras

DOI10.1016/j.jmaa.2022.126615OpenAlexW4292318606MaRDI QIDQ2674343

Hayden Julius

Publication date: 23 September 2022

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

Full work available at URL: https://arxiv.org/abs/2201.12912

zbMATH Keywords

Banach algebraslinear preserver problemsinvertibility preservers

Mathematics Subject Classification ID

Linear operators on Banach algebras (47B48) Transformers, preservers (linear operators on spaces of linear operators) (47B49)

Related Items (1)

Bilinear maps on C*-algebras that have product property at a compact element

Cites Work

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• Selected preserver problems on algebraic structures of linear operators and on function spaces
• On maps preserving zero Jordan products.
• Commutativity preserving maps
• Multiplicative mappings at some points on matrix algebras
• Zero product determined matrix algebras
• Maps on simple algebras preserving zero products. I: The associative case
• On maps preserving products of matrices
• Additive maps on standard operator algebras preserving invertibilities or zero divisors.
• Hua's theorem for simple Artin algebras
• Linear bijective maps preserving fixed products of matrices
• On maps preserving Lie products equal to a rank-one nilpotent
• Additive mappings preserving operators of rank one
• On maps preserving products equal to fixed elements
• Jordan Homomorphisms
• Dimension and Stable Rank in the K -Theory of C^* -Algebras
• On Maps Preserving Products
• A NOTE ON 2-LOCAL MAPS
• A HUA TYPE THEOREM AND LINEAR PRESERVER PROBLEMS
• Maps preserving zero products
• Mappings preserving zero products
• On maps preserving Lie products equal to e₁₁ - e₂₂
• Determining Jordan (triple) homomorphisms by invertibility preserving conditions
• Zero Product Determined Algebras
• On maps preserving rank-one nilpotents
• On isomorphisms of rings of linear operators
• On maps preserving products equal to a rank-one idempotent
• On maps preserving products equal to a diagonalizable matrix

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