Full paper in PDF:
$%M. Valdivia, Biorthogonal systems in certain Banach spaces, Rev. Mat. Univ. Complut. Madrid
9 (1996), supplementary, 191–220.%$
Biorthogonal Systems in Certain Banach
Spaces
Manuel VALDIVIA
Universidad de Valencia
Facultad de CC. Matemáticas
Dpto. de Análisis Matemático
Dr. Moliner 50
46100 Burjasot (Valencia) — Spain
Received: May 23, 1996
ABSTRACT
Let
be an Asplund space. We show in this paper that
admits a
total biorthogonal system,
such that the closed linear hull of
is a weakly compactly generated Banach space. We also prove that
if
is a weakly compactly convex-determined normed subspace of a Banach
space
with
then there is a total biorthogonal system
for
such that the linear hull
is a dense subspace
of
.
1991 Mathematics Subject Classification: 46B26.