Interpolation of Ideal Measures by Abstract K and J Spaces

作     者：Luz M.FERNNDEZ-CABRERA Antón MARTíNEZ 

作者机构：Sección Departamental de Matemática AplicadaEscuela de EstadísticaUniversidad Complutense de Madrid28040 MadridSpain Departamento de Matemática Aplicada IE.T.S.Ingenieros IndustrialesUniversidad de Vigo36200 

出 版 物：《Acta Mathematica Sinica,English Series》 (数学学报（英文版）)

年 卷 期：2007年第23卷第8期

页      面：1357-1374页

核心收录：

学科分类：07[理学] 070104[理学-应用数学] 0701[理学-数学] 

基　　金：The authors have been supported in part by the Spanish Ministerio de Educación y Ciencia(MTM2004-01888) 

主　　题：real interpolation ideal measures operator ideals shift operators 

摘      要：We work with the abstract K and J interpolation method generated by a sequence lattice Г. We investigate the deviation of an interpolated operator from a given operator ideal by establishing formulae for the ideal measure of the interpolated operator in terms of the ideal measures of restrictions of the operator. Formulae are given in terms of the norms of the shift operators on Г.