2010
DOI: 10.1016/j.laa.2009.06.002
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Annihilator-preserving maps, multipliers, and derivations

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Cited by 42 publications
(36 citation statements)
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“…This result improves the results in [1], [6]. In [8], the first author and Pan consider the usual generalized derivable mappings of CSL algebras at zero point and prove that these mappings are usual generalized derivations. In this paper we study which algebras A have the following property: Every generalized Jordan derivation on them is a generalized derivation.…”
Section: Introductionsupporting
confidence: 79%
“…This result improves the results in [1], [6]. In [8], the first author and Pan consider the usual generalized derivable mappings of CSL algebras at zero point and prove that these mappings are usual generalized derivations. In this paper we study which algebras A have the following property: Every generalized Jordan derivation on them is a generalized derivation.…”
Section: Introductionsupporting
confidence: 79%
“…In Section 3, we particularize our results to the setting of C * -algebras and explore the connections between (local) triple derivations and generalized derivations on a C * -algebra. Among the consequences, we establish appropriate generalizations, to general C * -algebras, of results due to Shul'man [36] and Li and Pan [31] in the context of unital C * -algebras.…”
Section: Introductionmentioning
confidence: 99%
“…Since t ∈ B (2k+2) is arbitrary, the desired identity is proved in the odd cases of n. Identity (13), combined with Proposition 2.4, implies that [10] implies that the mapping G is a generalised derivation, and thus,…”
Section: Proof Let T : a → Bmentioning
confidence: 91%