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:

1968-09-01

Pagination or Media Count:

26.0

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