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Asymptotically Isometric Copies of c0 and l1 in Bochner-Spaces

✍ Scribed by Patrick N. Dowling; Narcisse Randrianantoanina

Publisher: Elsevier Science
Year: 2001
Tongue: English
Weight: 138 KB
Volume: 262
Category: Article
ISSN: 0022-247X
DOI: 10.1006/jmaa.2001.7598

No coin nor oath required. For personal study only.

✦ Synopsis

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

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