Characterizations of isomorphisms and derivations of some algebras
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Publication:884379
DOI10.1016/j.jmaa.2006.10.071zbMath1126.47035OpenAlexW1991735083MaRDI QIDQ884379
Jiankui Li, Zhidong Pan, Huasu Xu
Publication date: 6 June 2007
Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.jmaa.2006.10.071
Commutators, derivations, elementary operators, etc. (47B47) Linear operators on Banach algebras (47B48) Nest algebras, CSL algebras (47L35)
Related Items (21)
Additive mappings derivable at non-trivial idempotents on Banach algebras ⋮ Derivable maps and generalized derivations on nest and standard algebras ⋮ Jordan and Jordan higher all-derivable points of some algebras ⋮ On derivable mappings ⋮ Linear maps on *-algebras acting on orthogonal elements like derivations or anti-derivations ⋮ Isomorphisms and generalized derivations of some algebras ⋮ Generalized derivable mappings and centralizable mappings on B(X) ⋮ Derivable maps and derivational points ⋮ All-derivable points in continuous nest algebras ⋮ Local Triple Derivations onC*-Algebras† ⋮ Additive maps derivable or Jordan derivable at zero point on nest algebras ⋮ Characterizations of all-derivable points inB(H) ⋮ All-derivable points in nest algebras ⋮ Multiplicative mappings at some points on matrix algebras ⋮ Generalized derivations associated with Hochschild 2-cocycles on some algebras ⋮ On \((m,n)\)-derivations of some algebras ⋮ Characterizations of Jordan derivations and Jordan homomorphisms ⋮ All-derivable points in matrix algebras ⋮ Characterizations of all-derivable points in nest algebras ⋮ Annihilator-preserving maps, multipliers, and derivations ⋮ Bilinear forms on matrix algebras vanishing on zero products of \(xy\) and \(yx\)
Cites Work
- Local derivations and local automorphisms.
- Ring isomorphisms and linear or additive maps preserving zero products on nest algebras
- Maps characterized by action on zero products.
- Operator algebras generated by projections
- Local multiplications on algebras spanned by idempotents
- Algebraic isomorphisms and $\mathcal {J}$-subspace lattices
- Automorphic Images of Commutative Subspace Lattices
- Mappings preserving zero products
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