On bounded approximation properties of Banach spaces

• Autorzy: Eve Oja
• Języki publikacji: EN

Abstrakty

EN

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?

Kategorie tematyczne

• 47L20: Operator ideals
• 46B20: Geometry and structure of normed linear spaces
• 46-02: Research exposition (monographs, survey articles)
• 47B10: Operators belonging to operator ideals (nuclear, p -summing, in the Schatten-von Neumann classes, etc.)
• 46B28: Spaces of operators; tensor products; approximation properties

• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Banach Center Publications
• Rocznik: 2010
• Tom: 91
• Numer: 1
• Strony: 219-231

Daty

wydano

2010

Twórcy

autor

Eve Oja

• Faculty of Mathematics and Computer Science, Tartu University, J. Liivi 2, EE-50409 Tartu, Estonia

Identyfikatory

DOI

10.4064/bc91-0-13