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Asymptotically Isometric Copies ofc0and Renormings of Banach Spaces

✍ Scribed by Patrick N Dowling

Publisher
Elsevier Science
Year
1998
Tongue
English
Weight
63 KB
Volume
228
Category
Article
ISSN
0022-247X

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πŸ“œ SIMILAR VOLUMES

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If ⌫ is an uncountable set, then any equivalent renorming of c ⌫ contains an 0 asymptotically isometric copy of c . If Y is an infinite dimensional closed subspace 0 Ž 5 5 . of c и , then Y contains an asymptotically isometric copy of c . If X and Y are ϱ 0 0 two infinite dimensional Banach spaces a

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Let X be a Banach space and Β΅ be a finite measure space. It is shown that if 1 ≀ p < ∞ resp 1 < p < ∞ , the Bochner space L p Β΅ X contains asymptotically isometric copies of c 0 resp l 1 if and only if X does.

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