Characterizations of isomorphisms and derivations of some algebras

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

zbMATH Keywords

isomorphismoperator algebraderivationzero-product preserver

Mathematics Subject Classification ID

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
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item

This page was built for publication: Characterizations of isomorphisms and derivations of some algebras