𝔖 Bobbio Scriptorium
✦   LIBER   ✦

Bases and quasi-reflexivity of Banach spaces

✍ Scribed by Ivan Singer

Publisher
Springer
Year
1964
Tongue
English
Weight
682 KB
Volume
153
Category
Article
ISSN
0025-5831

No coin nor oath required. For personal study only.

📜 SIMILAR VOLUMES

Bases and quasi-reflexivity in Fréchet s
Bases and quasi-reflexivity in Fréchet spaces
✍ Manuel Valdivia 📂 Article 📅 2005 🏛 John Wiley and Sons 🌐 English ⚖ 283 KB

## Abstract A Fréchet space __E__ is quasi‐reflexive if, either dim(__E__″/__E__) < ∞, or __E__″[__β__(__E__″,__E__′)]/__E__ is isomorphic to __ω__. A Fréchet space __E__ is totally quasi‐reflexive if every separated quotient is quasi‐reflexive. In this paper we show, using Schauder bases, that __E

Ergodic Characterizations of Reflexivity
Ergodic Characterizations of Reflexivity of Banach Spaces
✍ Vladimir P. Fonf; Michael Lin; Przemyslaw Wojtaszczyk 📂 Article 📅 2001 🏛 Elsevier Science 🌐 English ⚖ 308 KB

Let X be a Banach space with a basis. We prove the following characterizations: (i) X is finite-dimensional if and only if every power-bounded operator is uniformly ergodic. (ii) X is reflexive if and only if every power-bounded operator is mean ergodic. (iii) X is quasi-reflexive of order one if