The structure of compact disjointness pr
β
Ying-Fen Lin; Ngai-Ching Wong
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Article
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2009
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John Wiley and Sons
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English
β 183 KB
## 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,