Displaying similar documents to “The impact of the Radon-Nikodym property on the weak bounded approximation property.”

On bounded approximation properties of Banach spaces

Eve Oja (2010)

Banach Center Publications

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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?

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

Aleksei Lissitsin (2012)

Studia Mathematica

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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...