Accession Number:

AD0725079

Title:

An Inverse Function Theorem.

Descriptive Note:

Technical summary rept.,

Corporate Author:

WISCONSIN UNIV MADISON MATHEMATICS RESEARCH CENTER

Personal Author(s):

• Goldstein,A. A.
• Hobby,C.

Report Date:

1971-03-01

Pagination or Media Count:

9.0

Abstract:

The paper gives an estimate for the radius of a sphere in which certain smooth operators will have an inverse. Applications can be made to Control Theory and to the Calculus of Variations. Author

Descriptors:

• (*FUNCTIONAL ANALYSIS
• THEOREMS)
• CALCULUS OF VARIATIONS
• CONTROL SYSTEMS
• MAPPING(TRANSFORMATIONS)
• CONVEX SETS
• TOPOLOGY
• SPHERES

Subject Categories:

• Theoretical Mathematics

Distribution Statement:

APPROVED FOR PUBLIC RELEASE