Mendoza Casas, Jose (1982) Barrelledness conditions on S(Σ;E) and B(Σ;E). Mathematische Annalen, 261 (1). pp. 11-22. ISSN 0025-5831
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Abstract
Let Ω be a nonempty set, and let Σ be a field of subsets of Ω. If E is a locally convex space we denote by S(Σ;E) the vector space of all Σ-simple functions defined on Ω with values in E, and by B(Σ;E) the vector space of all functions defined on Ω with values in E which are uniform limits of Σ-simple functions. We give some results characterizing when the spaces S(Σ;E) and B(Σ;E) endowed with the uniform convergence topology are barrelled or infrabarrelled.
| Item Type: | Article |
|---|---|
| Uncontrolled Keywords: | uniform convergence topology; barrelled; infrabarrelled; uniform limit of vector valued simple functions |
| Subjects: | Sciences > Mathematics > Functional analysis and Operator theory |
| ID Code: | 16891 |
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| Deposited On: | 26 Oct 2012 10:21 |
| Last Modified: | 26 Oct 2012 10:21 |
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