"The Connection Between the Metric and Generalized Projection Operators" by Yakov Alber and Jinlu Li
 

Title

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

Document Type

Article

Publication Date

4-2-2006

Abstract

In this paper we study the connection between the metric projection operator P K : BK, 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 : BK and π K : B* → K. We also present some results in non–reflexive Banach spaces.

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