Real interpolation and closed operator ideals

被引:15
作者
Cobos, F [1 ]
Fernández-Cabrera, LM
Manzano, A
Martínez, A
机构
[1] Univ Complutense, Fac Matemat, Dept Anal Matemat, E-28040 Madrid, Spain
[2] Univ Complutense Madrid, Escuela Estadist, Secc Dept Matemat Aplicada, E-28040 Madrid, Spain
[3] Univ Burgos, Escuela Politec Super, Dept Matemat & Computac, Burgos 09001, Spain
[4] Univ Vigo, Dept Matemat Aplicada, ETS Ingn Ind, Vigo 36200, Spain
来源
JOURNAL DE MATHEMATIQUES PURES ET APPLIQUEES | 2004年 / 83卷 / 03期
关键词
real interpolation; weakly compact operators; Rosenthal operators; Banach-Saks operators;
D O I
10.1016/j.matpur.2004.01.002
中图分类号
O29 [应用数学];
学科分类号
070104 ;
摘要
We investigate the behaviour by general J- and K-methods of certain closed operator ideals. In particular, the results apply to weakly compact operators, Rosenthal operators and Banach-Saks operators. (C) 2004 Elsevier SAS. All rights reserved.
引用
收藏
页码:417 / 432
页数:16
相关论文
共 31 条
[1]  
Beauzamy B., 1978, Lecture Notes in Math., V666
[2]  
Bennett C., 1988, INTERPOLATION OPERAT
[3]  
Bergh J., 1976, INTERPOLATION SPACES
[4]  
Brudnyi Y., 1991, INTERPOLATION FUNCTO, V1
[5]  
CALDERON AP, 1966, STUD MATH, V26, P273
[6]   On interpolation of strictly singular operators, strictly co-singular operators and related operator ideals [J].
Cobos, F ;
Manzano, A ;
Martínez, A ;
Matos, P .
PROCEEDINGS OF THE ROYAL SOCIETY OF EDINBURGH SECTION A-MATHEMATICS, 2000, 130 :971-989
[7]   Extreme estimates for interpolated operators by the real method [J].
Cobos, F ;
Martínez, A .
JOURNAL OF THE LONDON MATHEMATICAL SOCIETY-SECOND SERIES, 1999, 60 :860-870
[8]   Best possible compactness results of Lions-Peetre type [J].
Cobos, F ;
Cwikel, M ;
Matos, P .
PROCEEDINGS OF THE EDINBURGH MATHEMATICAL SOCIETY, 2001, 44 :153-172
[9]   Interpolation theory and measures related to operator ideals [J].
Cobos, F ;
Manzano, A ;
Martínez, A .
QUARTERLY JOURNAL OF MATHEMATICS, 1999, 50 (200) :401-416
[10]  
COBOS F, IN PRESS STUDIA MATH