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EnglishThis 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.
| 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. |
| 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 |
http://hdl.handle.net/10447/394613
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