Strongly Exposed Points of Decomposable Sets in Spaces of Bochner Integrable Functions
Author: Tolstonogov, A.A.
Source: , 1 January 2002, vol. 71, no. 1-1, pp. 267-275(9)
Abstract:A characterization of strongly exposed points of a decomposable bounded closed convex set \Gamma\subset L_p(T,X), where 1\le p< \nomathbreak \infty, in terms of strongly exposed points of values of the set-valued representation F\:T\to \nomathbreak 2^X of \Gamma is given. As a corollary, necessary conditions characterizing strongly exposed points of the unit ball in L_p(T,X), where 1\le p< \nomathbreak \infty, in terms of strongly exposed points of the unit ball in X are obtained.
Document Type: Regular Paper
Affiliations: Institute of System Dynamics and Control Theory, Siberian Division, Russian Academy of Sciences email@example.com
Publication date: January 1, 2002