Spectral Computations for Bounded Operators (eBook, PDF)
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Exact eigenvalues, eigenvectors, and principal vectors of 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 book 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 recent results fo...
Exact eigenvalues, eigenvectors, and principal vectors of 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 book 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 recent results for research scientists.
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