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:

1971-09-29

Pagination or Media Count:

17.0

Abstract:

A functional equation related to Taylors 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