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Asymptotically isometric copies of c0 and l1 in certain Banach spaces

✍ Scribed by Dongyang Chen


Book ID
108345295
Publisher
Elsevier Science
Year
2003
Tongue
English
Weight
91 KB
Volume
284
Category
Article
ISSN
0022-247X

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πŸ“œ SIMILAR VOLUMES


Asymptotically Isometric Copies of c0 an
✍ Patrick N. Dowling; Narcisse Randrianantoanina πŸ“‚ Article πŸ“… 2001 πŸ› Elsevier Science 🌐 English βš– 138 KB

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.

Asymptotically Isometric Copies ofc0in B
✍ P.N Dowling; C.J Lennard; B Turett πŸ“‚ Article πŸ“… 1998 πŸ› Elsevier Science 🌐 English βš– 189 KB

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

Complemented Copies of l1 in Orlicz Spac
✍ Shutao Chen; Henryk Hudzik; Huying Sun πŸ“‚ Article πŸ“… 1992 πŸ› John Wiley and Sons 🌐 English βš– 468 KB