Existence and uniqueness of best approximants, with numerical applications

Part I of the thesis deals with existence and uniqueness theorems. Strengthening a result due to J. Blatter, it is proved in chapter 3 that a normed linear space is complete if every closed, bounded, and convex set is proximinal. It is also shown, that in a semi-reflexive, locally convex, real linea...

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Bibliographic Details
Main Author: Planitz, M.
Published: University of Greenwich 1985
Subjects:
519
Online Access:http://ethos.bl.uk/OrderDetails.do?uin=uk.bl.ethos.354392