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.
Adamo M.S., Trapani C. (2019). Unbounded derivations and *-automorphisms groups of Banach quasi *-algebras. ANNALI DI MATEMATICA PURA ED APPLICATA, 198(5), 1711-1729 [10.1007/s10231-019-00842-z].
Unbounded derivations and *-automorphisms groups of Banach quasi *-algebras
Adamo M. S.;Trapani C.
2019-01-01
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.
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