Interpolation of Limited and Weakly Compact Operators on Families of Banach Spaces |
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Authors: | MarÍa J Carro L I Nikolova |
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Institution: | (1) Departament de Matemática Aplicada i Análisi, Universitat de Barcelona, 08071 Barcelona, Spain;(2) Department of Mathematics, University of Sofia, 1126 Sofia, Bulgaria |
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Abstract: | In this paper, we study how the limited and weakly compact properties of operators are preserved by interpolation of the real method for infinite families of Banach spaces introduced by Carro in Studia Math. 109 (1994). We apply these results to the case of Sparr, Fernández and Cobos–Peetre methods of interpolation for finite families. |
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