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The Weak Topologies of Banach Spaces

✍ 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

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πŸ“œ SIMILAR VOLUMES


The weak topology on q-convex Banach fun
✍ L. Agud; J. M. Calabuig; E. A. SΓ‘nchez PΓ©rez πŸ“‚ Article πŸ“… 2011 πŸ› John Wiley and Sons 🌐 English βš– 198 KB πŸ‘ 1 views

## Abstract Let __X__(ΞΌ) be a Banach function space. In this paper we introduce two new geometric notions, __q__‐convexity and weak __q__‐convexity associated to a subset __S__ of the unit ball of the dual of __X__(ΞΌ), 1 ≀ __q__ < ∞. We prove that in the general case both notions are not equivalent

A nonstandard density theorem for weak t
✍ Laurent Vanderputten πŸ“‚ Article πŸ“… 2003 πŸ› John Wiley and Sons 🌐 English βš– 165 KB πŸ‘ 1 views

## 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