Linear maps preserving zero products on nest subalgebras of von Neumann algebras

DOI10.1016/j.laa.2005.07.001zbMath1092.47037OpenAlexW1981784198MaRDI QIDQ2576224

An-Li Yang, Jian Hua Zhang, Fang-Fang Pan

Publication date: 27 December 2005

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

Full work available at URL: https://doi.org/10.1016/j.laa.2005.07.001

zbMATH Keywords

von Neumann algebralinear preserverzero productnest subalgebrazero Jordan product

Mathematics Subject Classification ID

Automorphisms of selfadjoint operator algebras (46L40) Transformers, preservers (linear operators on spaces of linear operators) (47B49) Nest algebras, CSL algebras (47L35)

Related Items (5)

Jordan isomorphisms on nest subalgebras ⋮ Zero product determined triangular algebras ⋮ Additive maps preserving Jordan zero-products on nest algebras ⋮ Unnamed Item ⋮ Maps preserving square-zero matrices on the algebra consisting of all upper triangular matrices

Cites Work

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• Nest-subalgebras of von Neumann algebras
• Similarity preserving linear maps on matrices
• Linear preserver problems: A brief introduction and some special techniques
• Some general techniques on linear preserver problems
• Zero-product preserving additive maps on symmetric operator spaces and self-adjoint operator spaces
• Similarity-invariant subspaces and similarity-preserving linear maps.
• Linear maps preserving the spectral radius
• Spectrum-Preserving Linear Mappings between Banach Algebras or Jordan-Banach Algebras
• Linear mappings preserving square-zero matrices
• Linear maps on von Neumann algebras preserving zero products on tr-rank
• Mappings preserving zero products
• Additive Decomposition of Real Matrices
• Some linear preserver problems on upper triangular matrices

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