Displaying similar documents to “Universal approximations of certain functionals in Banach spaces”

On bounded approximation properties of Banach spaces

Eve Oja (2010)

Banach Center Publications

Similarity:

This survey features some recent developments concerning the bounded approximation property in Banach spaces. As a central theme, we discuss the weak bounded approximation property and the approximation property which is bounded for a Banach operator ideal. We also include an overview around the related long-standing open problem: Is the approximation property of a dual Banach space always metric?

Polynomial approximations and universality

A. Mouze (2010)

Studia Mathematica

Similarity:

We give another version of the recently developed abstract theory of universal series to exhibit a necessary and sufficient condition of polynomial approximation type for the existence of universal elements. This certainly covers the case of simultaneous approximation with a sequence of continuous linear mappings. In the case of a sequence of unbounded operators the same condition ensures existence and density of universal elements. Several known results, stronger statements or new results...