Publication: Interpolation of Compact-Operators by Goulaouic Procedure
Loading...
Official URL
Full text at PDC
Publication Date
1990
Authors
Advisors (or tutors)
Editors
Journal Title
Journal ISSN
Volume Title
Publisher
Polish Acad Sciencies Inst Mathematics
Citations
Exportar
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.