INTERPOLATION OF LIMITED AND WEAKLY COMPACT-OPERATORS ON FAMILIES OF BANACH-SPACES

Citation
Mj. Carro et Li. Nikolova, INTERPOLATION OF LIMITED AND WEAKLY COMPACT-OPERATORS ON FAMILIES OF BANACH-SPACES, Acta applicandae mathematicae, 49(2), 1997, pp. 151-177
Citations number
21
ISSN journal
01678019
Volume
49
Issue
2
Year of publication
1997
Pages
151 - 177
Database
ISI
SICI code
0167-8019(1997)49:2<151:IOLAWC>2.0.ZU;2-P
Abstract
In this paper, we study how the limited and weakly compact properties of operators are preserved by interpolation of the real method for inf inite families of Banach spaces introduced by Carro in Studia Math. 10 9 (1994). We apply these results to the case of Sparr, Fernandez and C obos-Peetre methods of interpolation for finite families.