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Functions Preserving Compactness and Connectedness Are Continuous

✍ Scribed by White, D. J.

Book ID
120098955
Publisher
Oxford University Press
Year
1968
Tongue
English
Weight
71 KB
Volume
s1-43
Category
Article
ISSN
0024-6107

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## 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,