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Some Compactness Results in Real Interpolation for Families of Banach Spaces

Authors:	Carro Maria J; Peetre Jaak

Institution:	Departament de Matemàtica Aplicada i Anàlisi, Universitat de Barcelona E-08071 Barcelona, Spain Matematiska Institutionen, Lunds Universitet S-221 00 Lund, Sweden

Abstract:	The paper shows that, if the operator T:A( ${gamma}$ ) $->$ B( ${gamma}$ ) is compact foralmost every ${gamma}$ $isin$ ${Gamma}$ , then is compact when or is the interpolation functor constructed for infinitefamilies of Banach spaces and S satisfies certain conditions.

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