RT Journal Article
T1 Complemented copies of L1 in Lp(μ;E).
A1 Mendoza Casas, José
AB 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.
PB Cambridge Univ Press
SN 0305-0041
YR 1992
FD 1992-05
LK https://hdl.handle.net/20.500.14352/57657
UL https://hdl.handle.net/20.500.14352/57657
LA eng
NO DGICYT
DS Docta Complutense
RD 8 abr 2025