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Operators onC[0,1] preserving copies of asymptotic ℓ1spaces

✍ Scribed by I. Gasparis

Publisher
Springer
Year
2005
Tongue
English
Weight
294 KB
Volume
333
Category
Article
ISSN
0025-5831

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Asymptotically Isometric Copies of c0 an
Asymptotically Isometric Copies of c0 and l1 in Bochner-Spaces
✍ 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.