All-derivable points of operator algebras

DOI10.1016/j.laa.2007.05.049zbMath1128.47062OpenAlexW2092068200MaRDI QIDQ2383012

Jun Zhu

Publication date: 5 October 2007

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

Full work available at URL: https://doi.org/10.1016/j.laa.2007.05.049

zbMATH Keywords

operator algebraupper triangular matricesstrong operator topologyall-derivable points

Mathematics Subject Classification ID

Commutators, derivations, elementary operators, etc. (47B47) Nest algebras, CSL algebras (47L35)

Related Items (31)

Additive mappings derivable at non-trivial idempotents on Banach algebras ⋮ Jordan and Jordan higher all-derivable points of some algebras ⋮ Linear maps on matrix algebra Jordan derivable at involutory matrices ⋮ On maps characterized by action on equal products ⋮ On derivable mappings ⋮ Jordan all-derivable points in the algebra of all upper triangular matrices ⋮ Linear maps on \(\mathrm{C}^\ast\)-algebras which are derivations or triple derivations at a point ⋮ Jordan higher all-derivable points on nontrivial nest algebras ⋮ Conjugate linear maps from \(C^*\)-algebras into their dual spaces which are ternary derivable at the unit element ⋮ Jordan higher all-derivable points in triangular algebras ⋮ Nonlinear mappings on full matrices derivable at zero point ⋮ Linear maps which are anti-derivable at zero ⋮ All-derivable points in the algebra of all upper triangular matrices ⋮ Linear maps between C*-algebras that are *-homomorphisms at a fixed point ⋮ A characterization of generalized Jordan derivations on Banach algebras ⋮ Nonlinear mappings on upper triangular matrices derivable at zero point ⋮ Characterizations of Lie derivations of factor von Neumann algebras ⋮ Linear maps on \(C^\star\)-algebras behaving like (anti-)derivations at orthogonal elements ⋮ All-derivable points in continuous nest algebras ⋮ Characterizations of derivations of Banach space nest algebras: all-derivable points ⋮ All-derivable points in nest algebras ⋮ Characterizations of Lie derivations of triangular algebras. ⋮ Linear mappings derivable at some nontrivial elements ⋮ Multiplicative mappings at some points on matrix algebras ⋮ On Jordan all-derivable points of \(\mathcal B(\mathcal H)\) ⋮ Characterizations of Jordan derivations and Jordan homomorphisms ⋮ All-derivable points in matrix algebras ⋮ Characterizations of derivations and Jordan derivations on Banach algebras ⋮ Characterizations of all-derivable points in nest algebras ⋮ Characterizations of Lie derivations of \(B(X)\) ⋮ Full-derivable points of \(\mathcal {J}\)-subspace lattice algebras

Cites Work

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• Local automorphisms of nest subalgebras of factor von Neumann algebras
• Derivable mappings at unit operator on nest algebras
• Characterizations of derivations on some normed algebras with involution
• Generalized derivable mappings at zero point on some reflexive operator algebras
• Local derivations
• Local derivations on operator algebras
• Characterization of generalized Jordan \(\ast\)-left derivations on real nest algebras
• Mappings which Preserve Idempotents, Local Automorphisms, and Local Derivations
• Local multiplications on algebras spanned by idempotents
• Local Derivation of Nest Algebras
• Bilocal derivations of standard operator algebras
• Local automorphisms and derivations on $\mathcal {B}(H)$
• Characterisations of derivations on some operator algebras
• Operators of Finite Rank in Nest Algebras

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