MATRIX CONVEXITY - OPERATOR ANALOGS OF THE BIPOLAR AND HAHN-BANACH THEOREMS

Authors
EFFROS EG WINKLER S
Citation
Eg. Effros et S. Winkler, MATRIX CONVEXITY - OPERATOR ANALOGS OF THE BIPOLAR AND HAHN-BANACH THEOREMS, Journal of functional analysis, 144(1), 1997, pp. 117-152
Citations number
33
Categorie Soggetti
Mathematics, Pure",Mathematics
Journal title
Journal of functional analysis → ACNP
ISSN journal
00221236
Volume
144
Issue
1
Year of publication
1997
Pages
117 - 152
Database
ISI
SICI code
0022-1236(1997)144:1<117:MC-OAO>2.0.ZU;2-4
Abstract
Several basic results of convexity theory are generalized to the ''qua ntized'' matrix convex sets of Wittstock. These include the Bipolar th eorem, a gauge version of the Hahn-Banach theorem, and the existence t heorem for support functionals. (C) 1997 Academic Press.