Accession Number : AD0687455

Title :   OPTIMAL APPROXIMATION AND CHARACTERIZATION OF THE ERROR AND STABILITY FUNCTIONS IN BANACH SPACES.

Descriptive Note : Technical summary rept.,

Corporate Author : WISCONSIN UNIV MADISON MATHEMATICS RESEARCH CENTER

Personal Author(s) : Aubin,Jean Pierre

Report Date : SEP 1968

Pagination or Media Count : 26

Abstract : Besides the best approximation projector, the author introduces the stabilization onto a subspace P which maximizes the cosine of the angle between u and an element v of P. The error and stability functions are characterized as eigenvalues of nonlinear operators involving those two projectors. (Author)

Descriptors :   (*FUNCTIONAL ANALYSIS, *APPROXIMATION(MATHEMATICS)), SPECIAL FUNCTIONS(MATHEMATICAL), BANACH SPACE, OPERATORS(MATHEMATICS)

Subject Categories : Theoretical Mathematics

Distribution Statement : APPROVED FOR PUBLIC RELEASE