Fredholm Operators and Riesz Theory for Polynomially Compact Operators

Aref Jeribi
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Aref Jeribi: University of Sfax, Department of Mathematics

Chapter Chapter 3 in Spectral Theory and Applications of Linear Operators and Block Operator Matrices, 2015, pp 101-119 from Springer

Abstract: Abstract In this chapter, we study the spectral theory of polynomially compact operator on a Banach space. First, we give some preliminary results concerning Fredholm operators which are developed in order to analyze the spectrum of polynomially compact operator on a Banach space. Second, we give some results on multiplicities and localization of the eigenvalues of polynomially compact operators. Finally, we present some results dealing with the polynomially Riesz operators.

Date: 2015
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Persistent link: https://EconPapers.repec.org/RePEc:spr:sprchp:978-3-319-17566-9_3

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DOI: 10.1007/978-3-319-17566-9_3

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