000			03649cam a2200517Ia 4500
001			ocn316569215
003			OCoLC
005			20141103172224.0
006			m o d
007			cr cn|||||||||
008			090320s1988 ne ob 000 0 eng d
040			_aOPELS _beng _cOPELS _dOPELS _dOCLCQ _dOCLCF _dOCLCO _dDEBBG
020			_a9780444705211
020			_a044470521X
029	1		_aAU@ _b000048130094
029	1		_aDEBBG _bBV039834558
029	1		_aNZ1 _b15193374
029	1		_aDEBBG _bBV036962835
029	1		_aDEBSZ _b407394524
035			_a(OCoLC)316569215
037			_a119855:122790 _bElsevier Science & Technology _nhttp://www.sciencedirect.com
050		4	_aQA329 _b.B44 1988eb
082	0	4	_a515.7/24 _222
049			_aTEFA
100	1		_aBeauzamy, Bernard, _d1949-
245	1	0	_aIntroduction to operator theory and invariant subspaces _h[electronic resource] / _cBernard Beauzamy.
260			_aAmsterdam ; _aNew York : _bNorth-Holland ; _aNew York, N.Y., U.S.A. : _bSole distributors for the U.S.A. and Canada, Elsevier Science Pub. Co., _c1988.
300			_a1 online resource (xiv, 358 p.)
490	1		_aNorth-Holland mathematical library ; _vv. 42
520			_aThis monograph only requires of the reader a basic knowledge of classical analysis: measure theory, analytic functions, Hilbert spaces, functional analysis. The book is self-contained, except for a few technical tools, for which precise references are given. Part I starts with finite-dimensional spaces and general spectral theory. But very soon (Chapter III), new material is presented, leading to new directions for research. Open questions are mentioned here. Part II concerns compactness and its applications, not only spectral theory for compact operators (Invariant Subspaces and Lomonossov's Theorem) but also duality between the space of nuclear operators and the space of all operators on a Hilbert space, a result which is seldom presented. Part III contains Algebra Techniques: Gelfand's Theory, and application to Normal Operators. Here again, directions for research are indicated. Part IV deals with analytic functions, and contains a few new developments. A simplified, operator-oriented, version is presented. Part V presents dilations and extensions: Nagy-Foias dilation theory, and the author's work about C1-contractions. Part VI deals with the Invariant Subspace Problem, with positive results and counter-examples. In general, much new material is presented. On the Invariant Subspace Problem, the level of research is reached, both in the positive and negative directions.
504			_aIncludes bibliographical references (p. [351]-358).
588			_aDescription based on print version record.
650		0	_aOperator theory.
650		0	_aInvariant subspaces.
650		7	_aOp�erateurs, Th�eorie des. _2ram
650		7	_aSous-espaces invariants. _2ram
650		7	_aInvariant subspaces. _2fast _0(OCoLC)fst00977981
650		7	_aOperator theory. _2fast _0(OCoLC)fst01046419
655		4	_aElectronic books.
776	0	8	_iPrint version: _aBeauzamy, Bernard, 1949- _tIntroduction to operator theory and invariant subspaces. _dAmsterdam ; New York : North-Holland ; New York, N.Y., U.S.A. : Sole distributors for the U.S.A. and Canada, Elsevier Science Pub. Co., 1988 _z044470521X _z9780444705211 _w(DLC) 88025064 _w(OCoLC)18351950
830		0	_aNorth-Holland mathematical library ; _vv. 42.
856	4	0	_3ScienceDirect _uhttp://www.sciencedirect.com/science/book/9780444705211
856	4		_uhttp://www.sciencedirect.com/science/publication?issn=09246509&volume=42 _3Volltext
942			_cEB
994			_aC0 _bTEF
999			_c21753 _d21753