The search session has expired. Please query the service again.

The search session has expired. Please query the service again.

Displaying similar documents to “On bounded approximation properties of Banach spaces”

A unified approach to the strong approximation property and the weak bounded approximation property of Banach spaces

Aleksei Lissitsin (2012)

Studia Mathematica

Similarity:

We consider convex versions of the strong approximation property and the weak bounded approximation property and develop a unified approach to their treatment introducing the inner and outer Λ-bounded approximation properties for a pair consisting of an operator ideal and a space ideal. We characterize this type of properties in a general setting and, using the isometric DFJP-factorization of operator ideals, provide a range of examples for this characterization, eventually answering...

The impact of the Radon-Nikodym property on the weak bounded approximation property.

Eve Oja (2006)

RACSAM

Similarity:

A Banach space X is said to have the weak λ-bounded approximation property if for every separable reflexive Banach space Y and for every compact operator T : X → Y, there exists a net (Sα) of finite-rank operators on X such that supα ||TSα|| ≤ λ||T|| and Sα → IX uniformly on compact subsets of X. We prove the following theorem. Let X** or Y* have the Radon-Nikodym property;...

Approximation of abstract linear integrodifferential equations

Hirokazu Oka, Naoki Tanaka (2000)

Studia Mathematica

Similarity:

This paper is devoted to the approximation of abstract linear integrodifferential equations by finite difference equations. The result obtained here is applied to the problem of convergence of the backward Euler type discrete scheme.