Accession Number : AD0743793

Title :   A Functional Equation which Characterizes Polynomial Operators with Applications to Uniqueness.

Descriptive Note : Technical summary rept.,

Corporate Author : WISCONSIN UNIV MADISON MATHEMATICS RESEARCH CENTER

Personal Author(s) : Nashed,M. Z.

Report Date : 29 SEP 1971

Pagination or Media Count : 17

Abstract : A functional equation related to Taylor's theorem in normed spaces is considered, and its most general solutions are characterized. As a byproduct, some simple local and global uniqueness results for solutions of polynomial operator equations are obtained and illustrated by problems for generalized inverses. (Author)

Descriptors :   (*FUNCTIONAL ANALYSIS, *POLYNOMIALS), OPERATORS(MATHEMATICS), VECTOR SPACES, THEOREMS

Subject Categories : Theoretical Mathematics

Distribution Statement : APPROVED FOR PUBLIC RELEASE