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The inverse of band preserving and disjointness preserving operators

✍ Scribed by C.B. Huijsmans; A.W. Wickstead


Book ID
107765501
Publisher
Elsevier Science
Year
1992
Tongue
English
Weight
285 KB
Volume
3
Category
Article
ISSN
0019-3577

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The structure of compact disjointness pr
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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,