The Connection Between the Metric and Generalized Projection Operators in Banach Spaces

Authors
Alber, Yakov Li, Jin Lu
Citation
Alber, Yakov et Li, Jin Lu, The Connection Between the Metric and Generalized Projection Operators in Banach Spaces, Acta mathematica Sinica. English series (Print) , 23(6), 2007, pp. 1109-1120
Journal title
Acta mathematica Sinica. English series (Print) → ACNP
ISSN journal
14398516
Volume
23
Issue
6
Year of publication
2007
Pages
1109 - 1120
Database
ACNP
SICI code
Abstract
In this paper we study the connection between the metric projection operator P K : B . K, where B is a reflexive Banach space with dual space B* and K is a non.empty closed convex subset of B, and the generalized projection operators . K : B . K and . K : B* . K. We also present some results in non.reflexive Banach spaces.