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Title
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CHARACTERIZITION OF MAPS BEHAVING LIKE JORDAN LEFT DERIVATIONS AT SEPECIAL PRODUCT ELEMENTS ON SOME OPERATOR ALGEBRAS
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Type
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Presentation
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Keywords
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Jordan Left derivation, reflexive algebras, CSL-algebras, CDC-algebras, nest algebras
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Abstract
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Let AlgL be a reflexive algebra on a Hilbert space H. Let P be a non-triavial idempotent in AlgL with P( H) ∈ L and δ : AlgL → AlgL be a continuous linear map with the property that A,B ∈ AlgL, AB + BA = P ⇒ 2Aδ(B) + 2Bδ(A) = δ(P), In this article, we characterize δ. Then we apply the main results to CSL-algebras, irreducible CDC algebras and nest algebras on a Hilbert space H.
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Researchers
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Hoger Ghahramani (Second Researcher), Behrooz Fadaee (First Researcher)
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