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Compact disjointness preserving operators

✍ Scribed by E. L. Arenson; A. K. Kitover


Publisher
Springer US
Year
1992
Tongue
English
Weight
272 KB
Volume
26
Category
Article
ISSN
0016-2663

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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,