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Interpolation of Compact-Operators by Goulaouic Procedure

Cobos, Fernando (1990) Interpolation of Compact-Operators by Goulaouic Procedure. Studia Mathematica, 97 (1). pp. 65-69. ISSN 0039-3223

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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.


Item Type:Article
Subjects:Sciences > Mathematics > Functional analysis and Operator theory
ID Code:15574
Deposited On:11 Jun 2012 08:58
Last Modified:06 Feb 2014 10:27

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