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