Spectral Computations for Bounded Operators
|von Mario Ahues|
Synopsis Exact eigenvalues, eigenvectors, and principal vectors or operators with infinite dimensional ranges can rarely be found. Therefore one must approximate such operators by finite rank operators, then solve the original eigenvalue problem approximately. This text addresses the issue of solving eigenvalue problems for operators on infinite dimensional spaces. From a review of classical spectral theory, through approximation techniques, to ideas for further research that would extend the results described, this volume serves as both a text for graduate students and as a source of state-of-the-art results for research scientists. All definitions and results are illustrated with elementary examples, and there are numerous exercises.
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