Journal Home Page

Cumulative Index

List of all Volumes

Complete Contents
of this Volume

Previous Article

Next Article
 


Journal of Convex Analysis 16 (2009), No. 2, 487--499
Copyright Heldermann Verlag 2009



Some Quantitative Interpolation Theorems under Lions-Peetre's Methods

Ming Fan
School of Industrial Technology and Management, Dalarna University, 781 88 Borlänge, Sweden
fmi@du.se



We formulate the quantitative version of interpolation theorems on compactness and weak compactness, the improved estimate for the k-uniform rotundity, and even the stability of the nearly uniform convexity under Lions-Peetre's interpolation methods of constants and means associated with quasi-power function parameters.

Keywords: Interpolation, k-uniform rotundity, Lions-Peetre's method, nearly uniform convexity, noncompactness, weak noncompactness.

MSC: 46B70, 46M35; 46B50, 47B07

[ Fulltext-pdf  (154  KB)] for subscribers only.