Lyapounov Convexity Theorem and Riemann-Type Integrals

By adopting the Riemann-Type integral the author gives an elementary and measure-theory free proof to the Lyapounov convexity theorem in infinite dimensional topological vector spaces.

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Bibliographic Details
Main Author: Artstein,Zvi
Format: Report
Language:English
Subjects:
BANACH SPACE
DIFFERENTIAL EQUATIONS
INTEGRALS
LYAPUNOV FUNCTIONS
Riemann integrals
THEOREMS
Theoretical Mathematics
TOPOLOGY
VECTOR SPACES
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Description
Summary:By adopting the Riemann-Type integral the author gives an elementary and measure-theory free proof to the Lyapounov convexity theorem in infinite dimensional topological vector spaces.