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Disjointness Preserving Operators on Complex Riesz Spaces

โœ Scribed by J. J. Grobler; C. B. Huijsmans

Book ID
110279623
Publisher
Springer
Year
1997
Tongue
English
Weight
109 KB
Volume
1
Category
Article
ISSN
1385-1292

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โœ Ying-Fen Lin; Ngai-Ching Wong ๐Ÿ“‚ Article ๐Ÿ“… 2009 ๐Ÿ› John Wiley and Sons ๐ŸŒ English โš– 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,