gamma-boundedness of C-0-semigroups and their H-infinity-functional calculi
| Affiliation auteurs | Affiliation ok |
| Titre | gamma-boundedness of C-0-semigroups and their H-infinity-functional calculi |
| Type de publication | Journal Article |
| Year of Publication | 2020 |
| Auteurs | Arnold L |
| Journal | STUDIA MATHEMATICA |
| Volume | 254 |
| Pagination | 77-108 |
| Type of Article | Article |
| ISSN | 0039-3223 |
| Mots-clés | gamma-boundedness, H-infinity-calculus, K-convex space |
| Résumé | In this article we discuss the notion of gamma-H-infinity-bounded calculus, gamma-m-H-infinity-bounded calculus on a half-plane and the weak-gamma Gomilko-Shi-Feng condition and give a connection between them. Then we state a characterization of generation of a gamma-bounded C-0-semigroup in a K-convex space, which leads to a version of Gearhart-Pruss on K-convex spaces. |
| DOI | 10.4064/sm190711-30-8 |