Accession Number : AD0633692

Title :   A STUDY OF OPERATORS IN APPROXIMATION THEORY.

Descriptive Note : Interim technical rept. no. 9,

Corporate Author : TEXAS UNIV AUSTIN COMPUTATION CENTER

Personal Author(s) : Ikebe,Yasuhiko

Report Date : APR 1966

Pagination or Media Count : 133

Abstract : This dissertation consists of two independent chapters. The first chapter studies constants associated with best-approximation maps mainly in the space of all real-valued continuous functions on a closed interval. The second chapter contains several generalizations of a theorem due to Cheney and Goldstein. This theorem establishes the existence of bounded linear operators which best approximate nonlinear operators under certain conditions. The well-known Alaoglu theorem is also obtained in this chapter as a special case of more general theorems. (Author)

Descriptors :   (*OPERATORS(MATHEMATICS), *APPROXIMATION(MATHEMATICS)), THEORY, MAPPING(TRANSFORMATIONS), FUNCTIONAL ANALYSIS

Subject Categories : Theoretical Mathematics

Distribution Statement : APPROVED FOR PUBLIC RELEASE