A geometric approach to duality of metric entropy

Authors
Milman, VD Szarek, SJ
Citation
Vd. Milman et Sj. Szarek, A geometric approach to duality of metric entropy, CR AC S I, 332(2), 2001, pp. 157-162
Citations number
13
Categorie Soggetti
Mathematics
Journal title
COMPTES RENDUS DE L ACADEMIE DES SCIENCES SERIE I-MATHEMATIQUE
ISSN journal
07644442 → ACNP
Volume
332
Issue
2
Year of publication
2001
Pages
157 - 162
Database
ISI
SICI code
0764-4442(20010115)332:2<157:AGATDO>2.0.ZU;2-D
Abstract
We introduce a new geometric approach for studying the Duality of Metric En tropy (of operators, or of convex sets). We demonstrate such duality, up to a logarithmic factor, in one important case, for the hitherto not-too-well understood low 'levels of resolution'. (C) 2001 Academie des sciences/Edit ions scientifiques et medicales Elsevier SAS.