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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


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.


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

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

Primary: 47A53
Secondary: 47A25

Keywords: Browder and Weyl spectra , essential spectrum , Fredholm operators , spectral picture

Rights: Copyright © 2008 The Belgian Mathematical Society

Vol.15 • No. 1 • February 2008
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