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Fredholm Operators and Riesz Theory for Polynomially Compact Operators

In: Spectral Theory and Applications of Linear Operators and Block Operator Matrices

Author

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  • Aref Jeribi

    (University of Sfax, Department of Mathematics)

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.

Suggested Citation

  • Aref Jeribi, 2015. "Fredholm Operators and Riesz Theory for Polynomially Compact Operators," Springer Books, in: Spectral Theory and Applications of Linear Operators and Block Operator Matrices, edition 127, chapter 0, pages 101-119, Springer.
    • Handle: RePEc:spr:sprchp:978-3-319-17566-9_3
    DOI: 10.1007/978-3-319-17566-9_3
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