Entropy of C(X)-valued operators and diverse applications

Authors
Carl, B Edmunds, DE
Citation
B. Carl et De. Edmunds, Entropy of C(X)-valued operators and diverse applications, J INEQUAL A, 6(2), 2001, pp. 119-147
Citations number
16
Categorie Soggetti
Mathematics
Journal title
JOURNAL OF INEQUALITIES AND APPLICATIONS
ISSN journal
10255834 → ACNP
Volume
6
Issue
2
Year of publication
2001
Pages
119 - 147
Database
ISI
SICI code
1025-5834(2001)6:2<119:EOCOAD>2.0.ZU;2-L
Abstract
We investigate how the metric entropy of C(X)-valued operators influences t he entropy behaviour of special operators, such as integral or matrix opera tors. Various applications are given, to the eigenvalue distributions of op erators and to the metric entropy of convex hulls of precompact sets in Ban ach spaces, for example. In particular, we provide metric entropy condition s on operators sufficient to ensure that the operators are in certain Schat ten classes.