Multiplicative mappings at some points on matrix algebras

DOI10.1016/j.laa.2010.04.027zbMath1196.15015OpenAlexW2085830446MaRDI QIDQ984857

Hong Zhu, Jun Zhu, Changping Xiong

Publication date: 20 July 2010

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

Full work available at URL: https://doi.org/10.1016/j.laa.2010.04.027

zbMATH Keywords

linear transformationmatrix algebraspatial isomorphismmultiplicative mappings at some points

Mathematics Subject Classification ID

Abstract operator algebras on Hilbert spaces (47L30) Algebraic systems of matrices (15A30) Linear preserver problems (15A86)

Related Items (2)

Fixed product preserving mappings on Banach algebras ⋮ Linear maps between C*-algebras that are *-homomorphisms at a fixed point

Cites Work

• Unnamed Item
• A characterization of homomorphisms between Banach algebras
• Derivable mappings at unit operator on nest algebras
• Characterizations of isomorphisms and derivations of some algebras
• All-derivable points in the algebra of all upper triangular matrices
• Additive maps derivable at some points on \(\mathcal J\)-subspace lattice algebras
• On Jordan all-derivable points of \(\mathcal B(\mathcal H)\)
• All-derivable points in matrix algebras
• Characterizations of derivations and Jordan derivations on Banach algebras
• All-derivable points of operator algebras
• All-derivable points in continuous nest algebras
• Linear maps on von Neumann algebras preserving zero products on tr-rank
• Mappings preserving zero products
• Invertibility preserving linear maps on ℒ(𝒳)

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