One of the most important theorem in analysis is the HABY-BANACH theorem ([SJ, pi). [186][187][188][189][190][191][192][193][194][195][196][197]. The analytic form of this theorem can be written as follows: Let S be a linear space over the field of real numhers R, and let p : X -R be a wldinear (su
Sequentially Barrelled Spaces and the Strongest Locally Convex Topology
✍ Scribed by Jerzy Kąkol
- Publisher
- John Wiley and Sons
- Year
- 1992
- Tongue
- English
- Weight
- 235 KB
- Volume
- 157
- Category
- Article
- ISSN
- 0025-584X
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📜 SIMILAR VOLUMES
## Abstract Let __X__(μ) 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__(μ), 1 ≤ __q__ < ∞. We prove that in the general case both notions are not equivalent
The connection between the approximation property and certain classes of locally convex spaces associated with the ideal B) of approximable operators will be discussed. It mill be shown that a FRECHET MOXTEL space has the approximation property iff it is a mixed @-space, or equivalently, iff its str