Acta Mathematica Vietnamica

Acta Mathematica Vietnamica

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SPECTRAL ANALYSIS OF SET-VALUED MAPPINGS

ALBERTO SEEGER

pp. 49-63

Abstract

This note deals with the spectral analysis of a general set-valued mapping $A$ defined from a normed space $X$ into its topological dual space $X^*$. The following two issues are addressed: (i) identification of set-valued mappings which have only nonnegative eigenvalues; (ii) analysis of recession eigenvalues and recession eigenvectors.