A semigroup analogue of the Fonf-Lin-Wojtaszczyk ergodic characterization of reflexive Banach spaces with a basis

• Autorzy: Delio Mugnolo
• Języki publikacji: EN

Abstrakty

EN

In analogy to a recent result by V. Fonf, M. Lin, and P. Wojtaszczyk, we prove the following characterizations of a Banach space X with a basis.
(i) X is finite-dimensional if and only if every bounded, uniformly continuous, mean ergodic semigroup on X is uniformly mean ergodic.
(ii) X is reflexive if and only if every bounded strongly continuous semigroup is mean ergodic if and only if every bounded uniformly continuous semigroup on X is mean ergodic.

Kategorie tematyczne

• 47A35: Ergodic theory

• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Studia Mathematica
• Rocznik: 2004
• Tom: 164
• Numer: 3
• Strony: 243-251

Daty

wydano

2004

Twórcy

autor

Delio Mugnolo

• Arbeitsbereich Funktionalanalysis, Mathematisches Institut, der Universität Tübingen, Auf der Morgenstelle 10, D-72076 Tübingen, Germany
• Dipartimento di Matematica, Università degli Studi di Bari, Via E. Orabona 4, I-70125 Bari, Italy

Identyfikatory

DOI

10.4064/sm164-3-3