000			02967nam a22005055i 4500
001			978-1-4419-6094-8
003			DE-He213
005			20140220084509.0
007			cr nn 008mamaa
008			100907s2010 xxu| s |||| 0|eng d
020			_a9781441960948 _9978-1-4419-6094-8
024	7		_a10.1007/978-1-4419-6094-8 _2doi
050		4	_aQA403-403.3
072		7	_aPBKD _2bicssc
072		7	_aMAT034000 _2bisacsh
082	0	4	_a515.785 _223
100	1		_aSz.-Nagy, Béla. _eauthor.
245	1	0	_aHarmonic Analysis of Operators on Hilbert Space _h[electronic resource] / _cby Béla Sz.-Nagy, Ciprian Foias, Hari Bercovici, László Kérchy.
250			_a2.
264		1	_aNew York, NY : _bSpringer New York, _c2010.
300			_aXIII, 474p. 1 illus. _bonline resource.
336			_atext _btxt _2rdacontent
337			_acomputer _bc _2rdamedia
338			_aonline resource _bcr _2rdacarrier
347			_atext file _bPDF _2rda
490	1		_aUniversitext
505	0		_aContractions and Their Dilations -- Geometrical and Spectral Properties of Dilations -- Functional Calculus -- Extended Functional Calculus -- Operator-Valued Analytic Functions -- Functional Models -- Regular Factorizations and Invariant Subspaces -- Weak Contractions -- The Structure of C1.-Contractions -- The Structure of Operators of Class C0.
520			_aThe existence of unitary dilations makes it possible to study arbitrary contractions on a Hilbert space using the tools of harmonic analysis. The first edition of this book was an account of the progress done in this direction in 1950-70. Since then, this work has influenced many other areas of mathematics, most notably interpolation theory and control theory. This second edition, in addition to revising and amending the original text, focuses on further developments of the theory. Specifically, the last two chapters of the book continue and complete the study of two operator classes: operators whose powers do not converge strongly to zero, and operators whose functional calculus (as introduced in Chapter III) is not injective. For both of these classes, a wealth of material on structure, classification and invariant subspaces is included in Chapters IX and X. Several chapters conclude with a sketch of other developments related with (and developing) the material of the first edition.
650		0	_aMathematics.
650		0	_aHarmonic analysis.
650		0	_aOperator theory.
650	1	4	_aMathematics.
650	2	4	_aAbstract Harmonic Analysis.
650	2	4	_aOperator Theory.
700	1		_aFoias, Ciprian. _eauthor.
700	1		_aBercovici, Hari. _eauthor.
700	1		_aKérchy, László. _eauthor.
710	2		_aSpringerLink (Online service)
773	0		_tSpringer eBooks
776	0	8	_iPrinted edition: _z9781441960931
830		0	_aUniversitext
856	4	0	_uhttp://dx.doi.org/10.1007/978-1-4419-6094-8
912			_aZDB-2-SMA
999			_c110584 _d110584