Linear maps on group algebras determined by the action of the derivations or anti-derivations on a set of orthogonal elements

DOI10.1007/s00025-018-0898-2zbMath1400.22007OpenAlexW2893636106MaRDI QIDQ1990685

Hoger Ghahramani

Publication date: 25 October 2018

Published in: Results in Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00025-018-0898-2

zbMATH Keywords

group algebraorthogonalityderivation

Mathematics Subject Classification ID

Commutators, derivations, elementary operators, etc. (47B47) Group algebras of locally compact groups (22D15) Measure algebras on groups, semigroups, etc. (43A10) Linear preserver problems (15A86)

Related Items

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 zero products on a class of operator algebras, Lie centralizers and commutant preserving maps on generalized matrix algebras, Linear maps on \(C^\star\)-algebras behaving like (anti-)derivations at orthogonal elements, Unnamed Item, Ternary derivations of nest algebras, Characterization of linear mappings on (Banach) \(\star\)-algebras by similar properties to derivations, Centralizers of Lie structure of triangular algebras, Characterizations of \({*}\) and \({*}\)-left derivable mappings on some algebras, Characterizations of \(\ast\)-antiderivable mappings on operator algebras, Linear maps on standard operator algebras characterized by action on zero products

Cites Work

• Unnamed Item
• Unnamed Item
• Disjointness-preserving linear maps on Banach function algebras associated with a locally compact group
• Maps acting on some zero products
• Completely bounded disjointness preserving operators between Fourier algebras
• Approximately zero-product-preserving maps
• Maps characterized by action on zero products.
• Extensions and isomorphisms for the generalized Fourier algebras of a locally compact group
• Automatic continuity and representation of certain linear isomorphisms between group algebras
• Factorization theorems in complete Jordan algebras
• 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
• The derivation problem for group algebras
• Orthogonality and disjointness preserving linear maps between Fourier and Fourier-Stieltjes algebras of locally compact groups
• Additive mappings derivable at non-trivial idempotents on Banach algebras
• Maps preserving zero products
• Weak star and bounded weak star continuity of Banach algebra products
• Disjointness preserving mappings between Fourier algebras
• Characterisations of derivations on some operator algebras
• Théorèmes de factorisation dans les algèbres normées complètes non associatives
• Characterizing Jordan maps on C*-algebras through zero products
• Orthogonality preserving linear maps on group algebras
• Jordan Homomorphisms and Derivations on Semisimple Banach Algebras
• Characterizing homomorphisms, derivations and multipliers in rings with idempotents