Unbounded derivations and *-automorphisms groups of Banach quasi *-algebras

Camillo TRapani; Maria Stella Adamo

Unbounded derivations and -automorphisms groups of Banach quasi -algebras

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arxiv 1807.11525 v1 pith:ZWSKHBPO submitted 2018-07-30 math.FA math.OA

Unbounded derivations and -automorphisms groups of Banach quasi -algebras

Maria Stella Adamo , Camillo Trapani This is my paper

classification math.FA math.OA

keywords automorphismsderivationsalgebrasbanachgroupsquasiunboundedweak

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This paper is devoted to the study of unbounded derivations on Banach quasi *-algebras with a particular emphasis to the case when they are infinitesimal generators of one parameter automorphisms groups. Both of them, derivations and automorphisms are considered in a weak sense; i.e., with the use of a certain families of bounded sesquilinear forms. Conditions for a weak *-derivation to be the generator of a *-automorphisms group are given.

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