000			03356nam a22004455i 4500
001			978-0-8176-8328-3
003			DE-He213
005			20251006084441.0
007			cr nn 008mamaa
008			120531s2012 xxu| s |||| 0|eng d
020			_a9780817683283
020			_a99780817683283
024	7		_a10.1007/978-0-8176-8328-3 _2doi
082	0	4	_a515.724 _223
100	1		_aKubrusly, Carlos S. _eauthor.
245	1	0	_aSpectral Theory of Operators on Hilbert Spaces _h[electronic resource] / _cby Carlos S. Kubrusly.
264		1	_aBoston : _bBirkhäuser Boston : _bImprint: Birkhäuser, _c2012.
300			_aX, 197 p. 2 illus. _bonline resource.
336			_atext _btxt _2rdacontent
337			_acomputer _bc _2rdamedia
338			_aonline resource _bcr _2rdacarrier
347			_atext file _bPDF _2rda
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.
650		0	_aMATHEMATICS.
650		0	_aALGEBRA.
650		0	_aFUNCTIONAL ANALYSIS.
650		0	_aOPERATOR THEORY.
650	1	4	_aMATHEMATICS.
650	2	4	_aOPERATOR THEORY.
650	2	4	_aFUNCTIONAL ANALYSIS.
650	2	4	_aNON-ASSOCIATIVE RINGS AND ALGEBRAS.
710	2		_aSpringerLink (Online service)
773	0		_tSpringer eBooks
776	0	8	_iPrinted edition: _z9780817683276
856	4	0	_uhttp://dx.doi.org/10.1007/978-0-8176-8328-3 _zVer el texto completo en las instalaciones del CICY
912			_aZDB-2-SMA
942			_2ddc _cER
999			_c59887 _d59887