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On the structure of polynomially compact operators

✍ Scribed by Young Min Han; Sang Hoon Lee; Woo Young Lee

Publisher
Springer-Verlag
Year
1999
Tongue
French
Weight
78 KB
Volume
232
Category
Article
ISSN
0025-5874

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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,