Exposed Points in Lebesgue–Bochner and Hardy–Bochner Spaces

✍ Scribed by Wolfgang Hensgen

Publisher: Elsevier Science
Year: 1996
Tongue: English
Weight: 231 KB
Volume: 198
Category: Article
ISSN: 0022-247X
DOI: 10.1006/jmaa.1996.0112

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✍ Patrick N. Dowling; Narcisse Randrianantoanina 📂 Article 📅 2001 🏛 Elsevier Science 🌐 English ⚖ 138 KB

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.