Publication: Interpolation of Compact-Operators by Goulaouic Procedure
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1990
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Polish Acad Sciencies Inst Mathematics
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Abstract
We show that the classical Lions-Peetre compactness theorems for Banach spaces (which are the main tools for proving all known compactness results in interpolation theory) fail in the locally convex case. We also prove a positive result assuming compactness of the operator in both sides.