Complemented copies of l1, in Lp(μ;E)
1992 ◽
Vol 111
(3)
◽
pp. 531-534
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Keyword(s):
AbstractLet E be a Banach space, let (Ω, Σ, μ) a finite measure space, let 1 < p < ∞ and let Lp(μ;E) the Banach space of all E-valued p-Bochner μ-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) Lp(μ; E) does. An extension of this result is also given.
Keyword(s):
1977 ◽
Vol 24
(2)
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pp. 129-138
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1985 ◽
Vol 8
(3)
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pp. 433-439
1991 ◽
Vol 14
(2)
◽
pp. 245-252
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1978 ◽
Vol 21
(3)
◽
pp. 347-354
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Keyword(s):
Keyword(s):
1991 ◽
Vol 117
(3-4)
◽
pp. 299-303
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1974 ◽
Vol 26
(6)
◽
pp. 1390-1404
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Keyword(s):