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Fredholm Theory

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Fredholm and Local Spectral Theory II

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Abstract

The purpose of this chapter is to provide an introduction to some classes of operators which have their origin in the classical Fredholm theory of bounded linear operators on Banach spaces. The presentation is rather expository in style, and only a few results are mentioned here with suitable reference. The first three sections address some preliminary and basic notions, concerning some important invariant subspaces, such as the hyper-range, the hyper-kernel, and the analytic core of an operator. The importance of these subspaces will become evident when we study the special classes of operators treated in successive sections.

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Authors and Affiliations

  1. Dipartimento di Matematica, Università degli Studi di Palermo, Palermo, Italy

    Pietro Aiena

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  1. Pietro Aiena
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Aiena, P. (2018). Fredholm Theory. In: Fredholm and Local Spectral Theory II . Lecture Notes in Mathematics, vol 2235. Springer, Cham. https://doi.org/10.1007/978-3-030-02266-2_1

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