Full paper in PDF:
$%M. Valdivia, Biorthogonal systems in certain Banach spaces, Rev. Mat. Univ. Complut. Madrid 9 (1996), supplementary, 191220.%$

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 X  be an Asplund space. We show in this paper that X  admits a total biorthogonal system, (xi,ui)i (- I  such that the closed linear hull of {xi : i (-  I} is a weakly compactly generated Banach space. We also prove that if Y  is a weakly compactly convex-determined normed subspace of a Banach space X  with             *
densY > densXs  then there is a total biorthogonal system (xi,ui)i (- I  for X  such that the linear hull {xi : i (- I} is a dense subspace of Y  .

1991 Mathematics Subject Classification: 46B26.