Ring isomorphisms and linear or additive maps preserving zero products on nest algebras
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Publication:1434402
DOI10.1016/j.laa.2004.02.032zbMath1061.47035OpenAlexW2017497858MaRDI QIDQ1434402
Publication date: 4 August 2004
Published in: Linear Algebra and its Applications (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.laa.2004.02.032
Transformers, preservers (linear operators on spaces of linear operators) (47B49) Nest algebras, CSL algebras (47L35)
Related Items (26)
2-local Lie isomorphisms of nest algebras ⋮ Lie centralizers at zero products on a class of operator algebras ⋮ Linear maps on *-algebras acting on orthogonal elements like derivations or anti-derivations ⋮ Characterizations of isomorphisms and derivations of some algebras ⋮ Zero product determined some nest algebras ⋮ 2-Local Lie triple isomorphisms of nest algebras ⋮ Characterization of Lie multiplicative isomorphisms between nest algebras ⋮ Maps preserving strong 2-Jordan product on some algebras ⋮ Additive maps preserving Jordan zero-products on nest algebras ⋮ A note on strong (skew) η-Lie products preserving maps on some algebras ⋮ The characterization of 2-local Lie automorphisms of some operator algebras ⋮ Maps leaving functional values of operator products invariant ⋮ Lie ring isomorphisms between nest algebras on Banach spaces ⋮ The characterization of 2-local Lie automorphisms of some operator algebras ⋮ Additive maps derivable or Jordan derivable at zero point on nest algebras ⋮ Characterizations of derivations of Banach space nest algebras: all-derivable points ⋮ Additive maps preserving commutativity up to a factor on nest algebras ⋮ Elementary maps on nest algebras ⋮ Zero-product preserving additive maps on symmetric operator spaces and self-adjoint operator spaces ⋮ On centralizers of Banach algebras ⋮ Left derivable maps at non-trivial idempotents on nest algebras ⋮ Maps preserving square-zero matrices on the algebra consisting of all upper triangular matrices ⋮ Nonlinear bijective maps on strictly upper triangular matrices preserving zero product ⋮ Ternary derivations of nest algebras ⋮ Characterization of linear mappings on (Banach) \(\star\)-algebras by similar properties to derivations ⋮ Mappings on matrices: invariance of functional values of matrix products
Cites Work
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- Maps on simple algebras preserving zero products. I: The associative case
- Rank-1 preserving linear maps on nest algebras.
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- Additive rank-one preserving mappings on triangular matrix algebras
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- Multiplicative mappings of operator algebras
- Orthogonality preserving transformations on indefinite inner product spaces: Generalization of Uhlhorn's version of Wigner's theorem
- Generalizations of Certain Nest Algebra Results
- On the existence of a fundamental total and bounded biorthogonal sequence in every separable Banach space, and related constructions of uniformly bounded orthonormal systems in L²
- Linear mappings preserving square-zero matrices
- Local multiplications on algebras spanned by idempotents
- Numerical radius distance-preserving maps on $\mathcal {B}(H)$
- Linear maps on von Neumann algebras preserving zero products on tr-rank
- Mappings preserving zero products
- Maps preserving numerical radius distance on C*-algebras
- On Some Algebras of Operators. II
- Rank-preserving linear maps on B(X)
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