The bounded-open topology on function spaces
β Scribed by Panos Th. Lambrinos
- Publisher
- Springer
- Year
- 1981
- Tongue
- English
- Weight
- 821 KB
- Volume
- 36
- Category
- Article
- ISSN
- 0025-2611
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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
Extending Lowen's notion of strong fuzzy compactness to an arbitrary fuzzy set the notion of a starplus-compact fuzzy set is introduced. It is shown that the category of starplus-compact fuzzy topological spaces is productive, and that starplus-compactness is a good extension of the notion of compac