Author： Bu Qingying
Publisher： Taylor & Francis Ltd
ISSN： 1607-3606
Source： Quaestiones Mathematicae, Vol.25, Iss.2, 2002-06, pp. : 209-227
Disclaimer: Any content in publications that violate the sovereignty, the constitution or regulations of the PRC is not accepted or approved by CNPIEC.
Abstract
In this paper, we first give a sequential representation of Lp(0, 1) ⊗ X, the projective tensor product of Lp (0, 1) and a Banach space X. Then by this sequential representation, we show that L p (0, 1) ⊗ X, 1 < p < ∞, has the Radon-Nikodym property if X does. As a consequence, we also show that the injective tensor product L p(0, 1) ⊗ X, 1 < p < ∞, is an Asplund space if X is.
Related content
Access to resources
Recommend
Projective -compactness, 1 -caliber, and C p -spaces
Topology and its Applications, Vol. 104, Iss. 1, 2000-06 ,pp. :
On Banach spaces X for which Π 2 ( X , L 1 ) = N 1 (X, L 1 )
Quaestiones Mathematicae, Vol. 23, Iss. 3, 2000-09 ,pp. :
Stability of Banach Space Properties In The Projective Tensor Product
Quaestiones Mathematicae, Vol. 27, Iss. 1, 2004-03 ,pp. :
p-Banach Spaces and p-Totally Convex Spaces. II
By Kemper R.
Applied Categorical Structures, Vol. 8, Iss. 4, 2000-12 ,pp. :