On the K

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• 作者：Yacin Ameur ; Michael Cwikel
• 关键词：Banach couple ; K-divisibility constant ; Calderó ; n constant
• 刊名：Journal of Mathematical Analysis and Applications
• 出版年：2009
• 期刊代码：76_0022247x
• 类别：mt
• 出版时间：1 December 2009
• 卷：360
• 期：1
• 页码：130-155
• 文件大小：440 K

摘要

We prove new estimates of the K-divisibility constants for some special Banach couples. In particular, we prove that the K-divisibility constant for a couple of the form (UV,U) where U and V are non-trivial Hilbert spaces equals . We also prove estimates for the K-divisibility constant of the two-dimensional version of the couple (L₂,L_∞), proving in particular that this couple is not exactly K-divisible. There are also several auxiliary results, including some estimates for relative Calderón constants for finite-dimensional couples.