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 - Kakutani-Stone and Weierstrass-Stone 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