Banach spaces all of whose subspaces have the approximation property
Banach spaces and operators which are nearly uniformly convex [Book]
Banach spaces not having copies of 1 ∞ and Z1.
Banach spaces of bounded Szlenk index
For a countable ordinal α we denote by the class of separable, reflexive Banach spaces whose Szlenk index and the Szlenk index of their dual are bounded by α. We show that each admits a separable, reflexive universal space. We also show that spaces in the class embed into spaces of the same class with a basis. As a consequence we deduce that each is analytic in the Effros-Borel structure of subspaces of C[0,1].
Banach Spaces of Compact Multipliers and Their Dual Spaces.
Banach spaces on which every unconditionally converging operator is completely continuous
Banach spaces quasi-reflexive of order one
Banach spaces which are -ideals in their bidual have property
We show that every Banach space which is an -ideal in its bidual has the property of Pelczynski. Several consequences are mentioned.
Banachian Differentiable Spaces.
Bases and Quasi-reflexivity of Banach Spaces.
Bases y casirreflexividad en espacios de Banach.
Bidual Spaces and Reflexivity of Real Normed Spaces
In this article, we considered bidual spaces and reflexivity of real normed spaces. At first we proved some corollaries applying Hahn-Banach theorem and showed related theorems. In the second section, we proved the norm of dual spaces and defined the natural mapping, from real normed spaces to bidual spaces. We also proved some properties of this mapping. Next, we defined real normed space of R, real number spaces as real normed spaces and proved related theorems. We can regard linear functionals...