Cobos Díaz, Fernando (1990) Interpolation of Compact-Operators by Goulaouic Procedure. Studia Mathematica, 97 (1). pp. 65-69. ISSN 0039-3223
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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.
|Subjects:||Sciences > Mathematics > Functional analysis and Operator theory|
|Deposited On:||11 Jun 2012 10:58|
|Last Modified:||11 Jun 2012 10:58|
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