Weak-local derivations and homomorphisms on C*-algebras
Essaleh, Ahlem Ben Ali · Peralta, Antonio M. · Ramírez, María Isabel
Operator Algebras
Functional Analysis
Primary 47B47, 46L57, 47B44, 47B48, 47B49, Secondary 15A86, 47L10
الأصل · EN
We prove that every weak-local derivation on a C*-algebra is continuous, and the same conclusion remains valid for weak*-local derivations on von Neumann algebras. We further show that weak-local derivations on C*-algebras and weak*-local derivations on von Neumann algebras are derivations. We also study the connections between bilocal derivations and bilocal *-automorphism with our notions of extreme-strong-local derivations and automorphisms.
الترجمة العربية
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