RT Journal Article
T1 On Banach spaces that contain l1 as complemented subspace.(Spanish:Sobre los espacios de Banach que contienen a l1 como complementado).
A1 Cembranos, Pilar
AB Let E and F be two Banach spaces, and let L(E,F) [WK(E,F)] denote the space of all continuous [weakly compact] linear operators from E to F. Obviously, if F is reflexive then L(E,F)=WK(E,F). The author proves that the equality L(E,F)=WK(E,F) implies the reflexivity of F if and only if E contains l1 as a complemented subspace. In the last part of the note she investigates when the space C(T,E) of all continuous functions on the compact space T with values in the Banach space E contains l1 as a complemented subspace.
PB Real Academia de Ciencias Exactas, Físicas y Naturales
SN 0034-0596
YR 1981
FD 1981
LK https://hdl.handle.net/20.500.14352/64873
UL https://hdl.handle.net/20.500.14352/64873
LA spa
NO BESSAGA, C. and PELCZYNSKI, A. (1958). On bases and unconditional convergence of series in Banach spaces. Studia Matñ., 17, 151-164.FIERRO,C. A result on weakly compact operators in spaces of vector-valued continuous functions. (Por aparecer).LINDENSTRAUSS,J. and TZAFRIRI,L. (1973). Classical Banach Spaces I, Springer-Verlag.SEMADENI, Z. (1971).Banach spaces of continuous functions. Warsano:PWN.
DS Docta Complutense
RD 29 abr 2024