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].
Data di pubblicazione: | 2019 | |
Titolo: | Unbounded derivations and *-automorphisms groups of Banach quasi *-algebras | |
Autori: | ||
Citazione: | 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]. | |
Rivista: | ||
Digital Object Identifier (DOI): | http://dx.doi.org/10.1007/s10231-019-00842-z | |
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. | |
URL: | http://springerlink.metapress.com/app/home/journal.asp?wasp=cmw755wvtg0qvm8kjj1q&referrer=parent&backto=linkingpublicationresults,1:108198,1 | |
Settore Scientifico Disciplinare: | Settore MAT/05 - Analisi Matematica | |
Appare nelle tipologie: | 1.01 Articolo in rivista |
File in questo prodotto:
File | Descrizione | Tipologia | Licenza | |
---|---|---|---|---|
Adamo-Trapani2019_Article_UnboundedDerivationsAnd-automo.pdf | Versione Editoriale | Administrator Richiedi una copia | ||
Unbounded derivations_reviewed version_2019.01.20.pdf | Post-print | Open Access Visualizza/Apri |