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

Title

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

Document Type

Article

Publication Date

4-2-2007

Original Publication Title

Acta Mathematica Sinica, English Series

Department

Mathematical Sciences

DOI

10.1007/s10114-005-0718-y

Abstract

In this paper we study the connection between the metric projection operator PK : 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 πK : B∗ → K. We also present some results in non-reflexive Banach spaces

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