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.
Unbounded derivations and *-automorphisms groups of Banach quasi *-algebras / Adamo, M. S.; Trapani, C.. - In: ANNALI DI MATEMATICA PURA ED APPLICATA. - ISSN 0373-3114. - 198:5(2019), pp. 1711-1729. [10.1007/s10231-019-00842-z]
Unbounded derivations and *-automorphisms groups of Banach quasi *-algebras
Adamo M. S.;
2019
Abstract
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.| File | Dimensione | Formato | |
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