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Weakly compact operators and interpolation

✍ Scribed by Lech Maligranda

Publisher
Springer Netherlands
Year
1992
Tongue
English
Weight
540 KB
Volume
27
Category
Article
ISSN
0167-8019

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✦ Synopsis

The class of weakly compact operators is, as well as the class of compact operators, a fundamental operator ideal. They were investigated strongly in the last twenty years. In this survey, we have collected and ordered some of this (partly very new) knowledge. We have also included some comments, remarks and examples.

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## Abstract We characterize compact operators between complex interpolation spaces and between spaces obtained by using certain minimal methods in the sense of Aronszajn and Gagliardo. Applications to interpolation of compact operators are also given. (Β© 2004 WILEY‐VCH Verlag GmbH & Co. KGaA, Weinh