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Prospectus

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Spectral theory of linear operators (TUD)(BM)

Course
2012-2013

The spectrum of a linear operator is the infinite-dimensional generalization of the notion of eigenvalues of a matrix. In this course we discuss the basic properties of spectra of bounded and unbounded linear operators. An introduction to Banach spaces is given, and the Baire, Banach-Steinhaus, open mapping and closed graph theorems are discussed. Applications to differential equations are discussed.

Number of hours
2
Examination
Take-home exercises and oral or take-home examination
Literature
Lecture notes*
Prerequisites
Metric spaces: open, closed, compact, continuity, convergence; complex variables: analyticity, contour integrals, Cauchy’s theorem; Hilbert space
Remark
This course can be part of a Leiden master programme. Please contact the lecturer shortly before the start of the 2nd semester.

Links
Detailed description