On isomorphisms between weighted L-p-algebras
| Affiliation auteurs | !!!! Error affiliation !!!! |
| Titre | On isomorphisms between weighted L-p-algebras |
| Type de publication | Journal Article |
| Year of Publication | 2021 |
| Auteurs | Kuznetsova Y, Zadeh S |
| Journal | CANADIAN MATHEMATICAL BULLETIN-BULLETIN CANADIEN DE MATHEMATIQUES |
| Volume | 64 |
| Pagination | 853-866 |
| Date Published | DEC |
| Type of Article | Article |
| ISSN | 0008-4395 |
| Mots-clés | biseparating isomorphism, Locally compact groups, small bound isomorphism, topological group isomorphisms, weighted L-p algebras |
| Résumé | Let G be a locally compact group and let omega be a continuous weight on G. In this paper, we first characterize bicontinuous biseparating algebra isomorphisms between weighted L-p-algebras. As a result, we extend previous results of Edwards, Parrott, and Strichartz on algebra isomorphisms between L-p-algebras to the setting of weighted L-p-algebras. We then study the automorphisms of certainweighted L-p-algebras on integers, applying known results on composition operators to classical function spaces. |
| DOI | 10.4153/S0008439520000880 |