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February 2008 Fredholm Theory in Hilbert Space - A Concise Introductory Exposition
Carlos S. Kubrusly
Bull. Belg. Math. Soc. Simon Stevin 15(1): 153-177 (February 2008). DOI: 10.36045/bbms/1203692453

Abstract

This is a brief introduction to Fredholm theory for Hilbert space operators organized into ten sections. The classical partition of the spectrum into point, residual, and continuous spectra is reviewed in Section 1. Fredholm operators are introduced in Section 2, and Fredholm index in Section 3. The essential spectrum is considered in Section 4, the spectral picture is presented in Section 5, and Riesz points are discussed in Section 6. Weyl spectrum is the subject of Section 7 and, after bringing some basic results on ascent and descent in Section 8, Browder spectrum is investigated in Section 9. Finally, Weyl and Browder theorems close this expository paper in Section 10.

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Carlos S. Kubrusly. "Fredholm Theory in Hilbert Space - A Concise Introductory Exposition." Bull. Belg. Math. Soc. Simon Stevin 15 (1) 153 - 177, February 2008. https://doi.org/10.36045/bbms/1203692453

Information

Published: February 2008
First available in Project Euclid: 22 February 2008

zbMATH: 1147.47012
MathSciNet: MR2406093
Digital Object Identifier: 10.36045/bbms/1203692453

Subjects:
Primary: 47A53
Secondary: 47A25

Rights: Copyright © 2008 The Belgian Mathematical Society

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Vol.15 • No. 1 • February 2008
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