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008 | 150903s2012 xxu| o |||| 0|eng d | ||
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_a9780817683283 _99780817683283 |
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024 | 7 |
_a10.1007/9780817683283 _2doi |
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_a201509030803 _bVLOAD _c201404130525 _dVLOAD _c201404092314 _dVLOAD _y201402041118 _zstaff |
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_aMX-SnUAN _bspa _cMX-SnUAN _erda |
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050 | 4 | _aQA329-329.9 | |
100 | 1 |
_aKubrusly, Carlos S. _eautor _9306855 |
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245 | 1 | 0 |
_aSpectral Theory of Operators on Hilbert Spaces / _cby Carlos S. Kubrusly. |
264 | 1 |
_aBoston : _bBirkhäuser Boston : _bImprint: Birkhäuser, _c2012. |
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300 |
_ax, 197 páginas 2 ilustraciones _brecurso en línea. |
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336 |
_atexto _btxt _2rdacontent |
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337 |
_acomputadora _bc _2rdamedia |
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_arecurso en línea _bcr _2rdacarrier |
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_aarchivo de texto _bPDF _2rda |
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500 | _aSpringer eBooks | ||
505 | 0 | _aPreface -- Preliminaries -- Spectrum -- Spectral Theorem -- Functional Calculus -- Fredholm Theory -- References -- Index. | |
520 | _aThis work is intended to provide a concise introduction to the spectral theory of Hilbert space operators. With an emphasis on detailed proofs and recent aspects of theory, it can serve as a modern textbook for a first graduate course in the subject. The coverage of topics is thorough, exploring various intricate points and hidden features often left untreated. The book begins with a primer on Hilbert space theory, summarizing the basics required for the remainder of the book and establishing unified notation and terminology. After this, standard spectral results for (bounded linear) operators on Banach and Hilbert spaces, including the classical partition of the spectrum and spectral properties for specific classes of operators, are discussed. A study of the spectral theorem for normal operators follows, covering both the compact and the general case, and proving both versions of the theorem in full detail. This leads into an investigation of functional calculus for normal operators and Riesz functional calculus, which in turn is followed by Fredholm theory and compact perturbations of the spectrum, where a finer analysis of the spectrum is worked out. Here, further partitions involving the essential spectrum, including the Weyl and Browder spectra, are introduced. The final section of the book deals with Weyl's and Browder's theorems and provides a look at very recent results. Spectral Theory of Operators on Hilbert Spaces is addressed to an interdisciplinary audience of graduate students in mathematics, statistics, economics, engineering, and physics. It will be useful for working mathematicians using spectral theory of Hilbert space operators, as well as for scientists wishing to harness the applications of this theory. | ||
590 | _aPara consulta fuera de la UANL se requiere clave de acceso remoto. | ||
710 | 2 |
_aSpringerLink (Servicio en línea) _9299170 |
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_iEdición impresa: _z9780817683276 |
856 | 4 | 0 |
_uhttp://remoto.dgb.uanl.mx/login?url=http://dx.doi.org/10.1007/978-0-8176-8328-3 _zConectar a Springer E-Books (Para consulta externa se requiere previa autentificación en Biblioteca Digital UANL) |
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