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On operators preserving James’ orthogonality

✍ Scribed by Aleksej Turnšek


Publisher
Elsevier Science
Year
2005
Tongue
English
Weight
195 KB
Volume
407
Category
Article
ISSN
0024-3795

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The structure of compact disjointness pr
✍ Ying-Fen Lin; Ngai-Ching Wong 📂 Article 📅 2009 🏛 John Wiley and Sons 🌐 English ⚖ 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,