Accession Number:

AD0743983

Title:

Grothendieck Spaces in Approximation Theory,

Descriptive Note:

Corporate Author:

TEXAS UNIV AUSTIN DEPT OF MATHEMATICS

Personal Author(s):

• Blatter,Joerg

Report Date:

1972-06-14

Pagination or Media Count:

124.0

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 Grothendiecks 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