Characterization of linear mappings on (Banach) \(\star\)-algebras by similar properties to derivations
DOI10.1515/ms-2017-0409OpenAlexW3068442743MaRDI QIDQ2057872
Kamal Fallahi, B. Fadaee, Hoger Ghahramani
Publication date: 7 December 2021
Published in: Mathematica Slovaca (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1515/ms-2017-0409
Commutators, derivations, elementary operators, etc. (47B47) Rings with involution; Lie, Jordan and other nonassociative structures (16W10) General theory of topological algebras with involution (46K05) Algebras of operators on Banach spaces and other topological linear spaces (47L10) Banach algebra techniques applied to functions of several complex variables (32A65)
Related Items (4)
Cites Work
- Unnamed Item
- Derivations modulo elementary operators.
- Derivable mappings at unit operator on nest algebras
- Characterizations of derivations of Banach space nest algebras: all-derivable points
- Zero product determined matrix algebras
- Characterizations of derivations and Jordan derivations on Banach algebras
- Characterizations of derivations on triangular rings: additive maps derivable at idempotents
- Ring isomorphisms and linear or additive maps preserving zero products on nest algebras
- Maps characterized by action on zero products.
- Generalized derivable mappings at zero point on some reflexive operator algebras
- Linear maps on group algebras determined by the action of the derivations or anti-derivations on a set of orthogonal elements
- Additive maps on some operator algebras behaving like \((\alpha, \beta)\)-derivations or generalized \((\alpha, \beta)\)-derivations at zero-product elements
- Sums of small numbers of idempotents
- PROJECTIONS, COMMUTATORS AND LIE IDEALS IN <i>C</i><sup>*</sup>-ALGEBRAS
- Characterizations of all-derivable points in nest algebras
- ON RINGS DETERMINED BY ZERO PRODUCTS
- Additive mappings derivable at non-trivial idempotents on Banach algebras
- On derivations and Jordan derivations through zero products
- Maps preserving zero products
- Characterisations of derivations on some operator algebras
- On mappings preserving zero products
- Multiplication algebra and maps determined by zero products
- Jordan Homomorphisms and Derivations on Semisimple Banach Algebras
- Characterizing homomorphisms, derivations and multipliers in rings with idempotents
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