Linear maps on \(C^\star\)-algebras behaving like (anti-)derivations at orthogonal elements

DOI10.1007/s40840-019-00841-6OpenAlexW3083705132MaRDI QIDQ1988593

B. Fadaee, Hoger Ghahramani

Publication date: 23 April 2020

Published in: Bulletin of the Malaysian Mathematical Sciences Society. Second Series (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s40840-019-00841-6

zbMATH Keywords

derivationorthogonal elementsanti-derivation\(C^{\star}\)-algebra

Mathematics Subject Classification ID

Commutators, derivations, elementary operators, etc. (47B47) General theory of (C^*)-algebras (46L05) Derivations, dissipations and positive semigroups in (C^*)-algebras (46L57)

Related Items (14)

Lie maps on triangular algebras without assuming unity ⋮ Characterizing linear maps of standard operator algebras through orthogonality ⋮ Characterizing linear mappings through zero products or zero Jordan products ⋮ Anti-derivable linear maps at zero on standard operator algebras ⋮ Lie centralizers at the zero products on generalized matrix algebras ⋮ Lie Centralizers and generalized Lie derivations on prime rings by local actions ⋮ Lie centralizers and commutant preserving maps on generalized matrix algebras ⋮ Linear maps which are anti-derivable at zero ⋮ Unnamed Item ⋮ Unnamed Item ⋮ A linear preserver problem on maps which are triple derivable at orthogonal pairs ⋮ Centralizers of Lie structure of triangular algebras ⋮ Characterizations of \({*}\) and \({*}\)-left derivable mappings on some algebras ⋮ Characterizations of \(\ast\)-antiderivable mappings on operator algebras

Cites Work

• Unnamed Item
• Unnamed Item
• Maps acting on some zero products
• The Grothendieck inequality for bilinear forms on \(C^*\)-algebras
• Stationarity of operator algebras
• Linear maps on \(\mathrm{C}^\ast\)-algebras which are derivations or triple derivations at a point
• Maps characterized by action on zero products.
• Linear maps on group algebras determined by the action of the derivations or anti-derivations on a set of orthogonal elements
• On centralizers of Banach algebras
• Additive maps on some operator algebras behaving like \((\alpha, \beta)\)-derivations or generalized \((\alpha, \beta)\)-derivations at zero-product elements
• All-derivable points of operator algebras
• Characterizing derivations for any nest algebras on Banach spaces by their behaviors at an injective operator
• Characterizations of all-derivable points in nest algebras
• Additive mappings derivable at non-trivial idempotents on Banach algebras
• A survey on local and 2-local derivations on C*- and von Neuman algebras
• Maps preserving zero products
• Characterisations of derivations on some operator algebras
• Characterizing Jordan maps on C*-algebras through zero products
• Linear maps on *-algebras acting on orthogonal elements like derivations or anti-derivations
• Local Triple Derivations onC*-Algebras^†
• Local triple derivations on C∗-algebras and JB∗-triples
• Cohomology of operator algebras. III : reduction to normal cohomology
• Automatic Continuity of Derivations of Operator Algebras
• Characterizations of all-derivable points inB(H)
• Characterizing homomorphisms, derivations and multipliers in rings with idempotents

This page was built for publication: Linear maps on \(C^\star\)-algebras behaving like (anti-)derivations at orthogonal elements