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Weakly equicompact sets of operators defined on Banach spaces

✍ Scribed by E. Serrano; C. Piñeiro; J. M. Delgado

Publisher
Springer
Year
2006
Tongue
English
Weight
162 KB
Volume
86
Category
Article
ISSN
0003-889X

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Embeddings of Weakly Compact Sets and *-
Embeddings of Weakly Compact Sets and *-Paired Banach Spaces
✍ H.J.K. Junnila 📂 Article 📅 2000 🏛 Elsevier Science 🌐 English ⚖ 160 KB

We use properties of Day's norm on c 0 (}) to prove that, for every Eberlein compact space K, there exists a separately continuous symmetric mapping d: K\_K Ä R such that we have d(x, y)< d(x, x)+d( y, y) 2 for any two distinct points x and y of K. As a consequence, we have that every Eberlein compa