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The Connection Between the Metric and Generalized Projection Operators in Banach Spaces.
- Source :
-
Acta Mathematica Sinica . Jun2007, Vol. 23 Issue 6, p1109-1120. 12p. - Publication Year :
- 2007
-
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 π K : B* → K. We also present some results in non–reflexive Banach spaces. [ABSTRACT FROM AUTHOR]
Details
- Language :
- English
- ISSN :
- 14398516
- Volume :
- 23
- Issue :
- 6
- Database :
- Academic Search Index
- Journal :
- Acta Mathematica Sinica
- Publication Type :
- Academic Journal
- Accession number :
- 25088593
- Full Text :
- https://doi.org/10.1007/s10114-005-0718-y