Local uniform convexity and Kadec-Klee type properties in K-interpolation spaces I: General Theory

We present a systematic study of the interpolation of local uniform convexity and Kadec-Klee type properties in K-interpolation spaces. Using properties of the K-functional of J.Peetre, our approach is based on a detailed analysis of properties of a Banach couple and properties of a K-interpolation...

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Bibliographic Details
Main Authors: Peter G. Dodds, Theresa K. Dodds, Alexander A. Sedaev, Fyodor A. Sukochev
Format: Article
Language:English
Published: Hindawi Limited 2004-01-01
Series:Journal of Function Spaces and Applications
Online Access:http://dx.doi.org/10.1155/2004/678358