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On the modulus of disjointness preserving operators on complex vector lattices

โœ Scribed by Fethi Ben Amor; Karim Boulabiar

Publisher
Springer
Year
2005
Tongue
English
Weight
532 KB
Volume
54
Category
Article
ISSN
0002-5240

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๐Ÿ“œ SIMILAR VOLUMES

The structure of compact disjointness pr
The structure of compact disjointness preserving operators on continuous functions
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,