Some Compactness Results in Real Interpolation for Families of Banach Spaces |
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Authors: | Carro, Maria J. Peetre, Jaak |
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Affiliation: | Departament de Matemàtica Aplicada i Anàlisi, Universitat de Barcelona E-08071 Barcelona, Spain Matematiska Institutionen, Lunds Universitet S-221 00 Lund, Sweden |
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Abstract: | The paper shows that, if the operator T:A()B() is compact foralmost every , then is compact when or is the interpolation functor constructed for infinitefamilies of Banach spaces and S satisfies certain conditions. |
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Keywords: | |
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