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Interpolation of compact operators. The multidimensional case. (English) Zbl 1113.46068
Summary: We investigate the behaviour of compact operators under Sparr methods. We begin with the case when one of the $$N+1$$ - tuples reduces to a single Banach space, and later we treat the general case. In particular, we obtain the behaviour of compact operators under polygonal methods.
MSC:
 46M35 Abstract interpolation of topological vector spaces 46B70 Interpolation between normed linear spaces