RT Journal Article
T1 Best possible Compactness Results of Lions-Peetre Type
A1 Cobos, Fernando
A1 Cwikel, M.
A1 Matos, P.
AB If T : A0 ! B boundedly and T : A1 ! B compactly, then a result of Lions{Peetre shows that T : A ! B compactly for a certain class of spaces A which are intermediate with respect to A0 and A1. We investigate to what extent such results can hold for arbitrary intermediate spaces A. The `dual' case of an operator S such that S : X ! Y0 boundedly and S : X ! Y1 compactly, is also considered,as well as similar questions for other closed operator ideals.
PB Cambridge Univ Press
SN 0013-0915
YR 2001
FD 2001
LK https://hdl.handle.net/20.500.14352/57226
UL https://hdl.handle.net/20.500.14352/57226
LA eng
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NO Dirección General de Enseñanza Superior
NO Fund for Promotion of Research at the Technion
NO Progama Praxos XXI da Fundaçao para a Ciencia e Tecnologia
NO Instituto Politécnico de Leiria
DS Docta Complutense
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