000			04050nam a22004335i 4500
001			978-0-8176-4998-2
003			DE-He213
005			20251006084440.0
007			cr nn 008mamaa
008			110228s2011 xxu| s |||| 0|eng d
020			_a9780817649982
020			_a99780817649982
024	7		_a10.1007/978-0-8176-4998-2 _2doi
082	0	4	_a515.724 _223
100	1		_aKubrusly, Carlos S. _eauthor.
245	1	4	_aThe Elements of Operator Theory _h[electronic resource] / _cby Carlos S. Kubrusly.
264		1	_aBoston : _bBirkhäuser Boston, _c2011.
300			_aXV, 539p. _bonline resource.
336			_atext _btxt _2rdacontent
337			_acomputer _bc _2rdamedia
338			_aonline resource _bcr _2rdacarrier
347			_atext file _bPDF _2rda
505	0		_aPreface -- Set Theoretic Structures -- Algebraic Structures -- Topological Structures -- Banach Spaces -- Hilbert Spaces -- The Spectral Theorem -- References -- Index.
520			_a"The author endeavors to present the concepts and ideas as an alternative to the computational approach, trying to avoid long calculations by stressing the mathematical thoughts behind the statements. . . . many problems [are] stated throughout the book, very often accompanied by hints." -Mathematical Reviews (review of the first edition) "This is a rigorous, logically well-organized textbook presenting basic principles and elementary theory of operators. It is written with great care, gradually increasing in complexity. The forte features of the book are the teaching style, illuminating explanation of numerous delicate points, and detailed presentation of topics. Hence, the book can be warmly recommended to a first work for the study of operator theory . . . it is an admirable work for a modern introduction in operator theory." -Zentralblatt MATH (review of the first edition) This fully revised, updated, and corrected edition of The Elements of Operator Theory includes a significant expansion of problems and solutions used to illustrate the principles of operator theory. Written in a user-friendly, motivating style, it covers the fundamental topics of the field in a systematic fashion while avoiding a formula-calculation approach. The book maintains the logical and linear organization of the title's first edition, progressing through set theory, algebraic structures, topological structures, Banach spaces, and Hilbert spaces before culminating in a discussion of the Spectral Theorem. Included in the presentation are * More than 300 rigorous proofs, specially tailored to the presentation. * Approximately 150 examples, and several interesting counterexamples that demonstrate the frontiers of an important theorem. * Over 300 problems, with many hints, and 20 pages of additional exercises for the second edition. Throughout, the pedagogical tone and the blend of examples and exercises encourage and challenge the reader to explore fresh approaches to theorems and auxiliary results. A self-contained textbook, The Elements of Operator Theory, Second Edition is an excellent resource for the classroom as well as a self-study reference for researchers. Prerequisites comprise an introduction to analysis and basic experience with functions of a complex variable, which most first-year graduate students in mathematics, engineering, or other formal sciences have already acquired. Measure theory and integration theory are necessary only for the last section of the final chapter.
650		0	_aMATHEMATICS.
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	_aAPPLICATIONS OF MATHEMATICS.
710	2		_aSpringerLink (Online service)
773	0		_tSpringer eBooks
776	0	8	_iPrinted edition: _z9780817649975
856	4	0	_uhttp://dx.doi.org/10.1007/978-0-8176-4998-2 _zVer el texto completo en las instalaciones del CICY
912			_aZDB-2-SMA
942			_2ddc _cER
999			_c59842 _d59842