The structure of LC-continuous functions
β Scribed by Alexey Ostrovsky
- Publisher
- Akadmiai Kiad
- Year
- 2011
- Tongue
- English
- Weight
- 355 KB
- Volume
- 133
- Category
- Article
- ISSN
- 1588-2632
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This paper considers the space Y s C T, X of all continuous and bounded functions from a topological space T to a complex normed space X with the sup Ε½ . norm. The extremal structure of the closed unit ball B Y in Y has been intensively studied when X is strictly convex, that is, in terms of its uni
## Abstract Let __T__ be a compact disjointness preserving linear operator from __C__~0~(__X__) into __C__~0~(__Y__), where __X__ and __Y__ are locally compact Hausdorff spaces. We show that __T__ can be represented as a norm convergent countable sum of disjoint rank one operators. More precisely,