Additive maps preserving rank-one operators on nest algebras

DOI10.1080/03081080801980424zbMath1193.47038OpenAlexW2027349885MaRDI QIDQ3564191

Zhaofang Bai, Shuanping Du, Jin-Chuan Hou

Publication date: 2 June 2010

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

Full work available at URL: https://doi.org/10.1080/03081080801980424

zbMATH Keywords

nest algebrasadditive mapsrank-1 preservers

Mathematics Subject Classification ID

Transformers, preservers (linear operators on spaces of linear operators) (47B49) Nest algebras, CSL algebras (47L35)

Related Items (6)

Nonlinear isometries on Schatten-\(p\) class in atomic nest algebras ⋮ Additive maps preserving nilpotent perturbation of scalars ⋮ Distance preserving maps of nest algebras ⋮ Lie ring isomorphisms between nest algebras on Banach spaces ⋮ Additive maps preserving commutativity up to a factor on nest algebras ⋮ Additivity of Jordan maps on triangular algebras

Cites Work

• Linear preservers on triangular matrices
• Rank-1 preserving linear maps on nest algebras.
• Rank-1 nilpotency linear preservers on nest algebras.
• Additive rank-one preserving mappings on triangular matrix algebras
• Linear maps preserving idempotence on nest algebras
• Orthogonality preserving transformations on indefinite inner product spaces: Generalization of Uhlhorn's version of Wigner's theorem
• Additive mappings preserving operators of rank one
• Completely rank nonincreasing linear maps on nest algebras
• Some linear preserver problems on upper triangular matrices
• Linear preservers on upper triangular operator matrix algebras

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