Mendoza Casas, Jose (1992) Complemented copies of L1 in Lp(μ;E). Mathematical Proceedings of the Cambridge Philosophical Society, 111 (3). pp. 531-534. ISSN 0305-0041
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Official URL: http://journals.cambridge.org/abstract_S0305004100075605
Abstract
Let E be a Banach space, let (OMEGA, SIGMA, mu) a finite measure space, let 1 < p < infinity and let L(p)(mu; E) the Banach space of all E-valued p-Bochner mu-integrable functions with its usual norm. In this note it is shown that E contains a complemented subspace isomorphic to l1 if (and only if ) L(p)(mu; E) does. An extension of this result is also given.
| Item Type: | Article |
|---|---|
| Uncontrolled Keywords: | block sequence; finite measure space; complemented subspace |
| Subjects: | Sciences > Mathematics > Functional analysis and Operator theory |
| ID Code: | 16886 |
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| Deposited On: | 26 Oct 2012 10:32 |
| Last Modified: | 20 Dec 2012 15:07 |
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