Общие вопросы математики

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Spectral Theory of Linear Operators

Автор: Mohammad Bagher Ghaemi
Год: 2009
Издание: LAP Lambert Academic Publishing
Страниц: 112
ISBN: 9783838321424
This text is concerned with the relationship between spectral decomposition of operators, the functional calculi that operators admit, and Banach space structure. The deep connection between the first two of these concepts has long been known. The aim of this text is to provide an introduction to the modern techniques of AC- operators and prespectral operators in spectral theory. Topics include the basic results of AC- operators and prespectral operators on Banach spaces and the application of spectral theory on c*-algebras. Much of the subject matter, particularly with respect to AC- operators, prespectral operators, and c*-algebras, is comprised of new results.
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