
Accession Number : AD0743983
Title : Grothendieck Spaces in Approximation Theory,
Corporate Author : TEXAS UNIV AUSTIN DEPT OF MATHEMATICS
Personal Author(s) : Blatter,Joerg
Report Date : 14 JUN 1972
Pagination or Media Count : 124
Abstract : The purpose of this work is to study systematically a set of closed vector subspaces  Grothendieck subspaces  of (C sub zero) (T,X),T a locally compact Hausdorff topological space and X a real Banach space, analogous to Grothendieck's set of closed vector subspaces of (C sub zero) (T,R) along with two subsets  KakutaniStone and WeierstrassStone subspaces  analogous to the sets of closed vector sublattices and closed subalgebras of (C sub zero) (T,R), and to develop, subsequently, a theory of best approximation in (C sub zero) (T,X) by closed vector subspaces in these sets. (Author)
Descriptors : (*APPROXIMATION(MATHEMATICS), VECTOR SPACES), BANACH SPACE, TOPOLOGY, SET THEORY, THEOREMS
Subject Categories : Theoretical Mathematics
Distribution Statement : APPROVED FOR PUBLIC RELEASE