The Weak Topologies of Banach Spaces
β Scribed by A. E. Taylor
- Book ID
- 123668781
- Publisher
- National Academy of Sciences
- Year
- 1939
- Tongue
- English
- Weight
- 124 KB
- Volume
- 25
- Category
- Article
- ISSN
- 0027-8424
- DOI
- 10.2307/87402
No coin nor oath required. For personal study only.
π SIMILAR VOLUMES
## Abstract Let __X__(ΞΌ) be a Banach function space. In this paper we introduce two new geometric notions, __q__βconvexity and weak __q__βconvexity associated to a subset __S__ of the unit ball of the dual of __X__(ΞΌ), 1 β€ __q__ < β. We prove that in the general case both notions are not equivalent
## Abstract We prove a nonstandard density result. It asserts that if a particular formula is true for functions in a set __K__ of linear continuous functions between Banach spaces __E__ and __D__, then it remains valid for functions that are limits, in the uniform convergence topology on a given c