Ergodic Banach lattices
✍ Scribed by Frank Räbiger
- Publisher
- Elsevier Science
- Year
- 1990
- Tongue
- English
- Weight
- 414 KB
- Volume
- 1
- Category
- Article
- ISSN
- 0019-3577
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📜 SIMILAR VOLUMES
This paper studies the Banach lattice structure of some spaces of continuous functions taking values in a Banach lattice. We determine when they satisfy various kinds of order theoretic completeness conditions and what properties the norm in such a Banach lattice may possess and describe their centr
Banach Lattices of Bounded Operators By H.-U. SCHWARZ (Jena) (Eingegangen am 1.3.1977) There are given two equivalent methods to construct BANACE lattices of compact operators. All known examples of such lattices are included.
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