000			03253nam a22004695i 4500
001			978-0-8176-4932-6
003			DE-He213
005			20251006084439.0
007			cr nn 008mamaa
008			100301s2010 xxu| s |||| 0|eng d
020			_a9780817649326
020			_a99780817649326
024	7		_a10.1007/978-0-8176-4932-6 _2doi
082	0	4	_a515.724 _223
100	1		_aKantorovitz, Shmuel. _eauthor.
245	1	0	_aTopics in Operator Semigroups _h[electronic resource] / _cby Shmuel Kantorovitz.
264		1	_aBoston : _bBirkhäuser Boston, _c2010.
300			_bonline resource.
336			_atext _btxt _2rdacontent
337			_acomputer _bc _2rdamedia
338			_aonline resource _bcr _2rdacarrier
347			_atext file _bPDF _2rda
490	1		_aProgress in Mathematics ; _v281
505	0		_aGeneral Theory -- Basic Theory -- The Semi-Simplicity Space for Groups -- Analyticity -- The Semigroup as a Function of its Generator -- Large Parameter -- Boundary Values -- Pre-Semigroups -- Integral Representations -- The Semi-Simplicity Space -- The Laplace-Stieltjes Space -- Families of Unbounded Symmetric Operators -- A Taste of Applications -- Analytic Families of Evolution Systems -- Similarity.
520			_aThe theory of operator semigroups was essentially discovered in the early 1930s. Since then, the theory has developed into a rich and exciting area of functional analysis and has been applied to various mathematical topics such as Markov processes, the abstract Cauchy problem, evolution equations, and mathematical physics. This self-contained monograph focuses primarily on the theoretical connection between the theory of operator semigroups and spectral theory. Divided into three parts with a total of twelve distinct chapters, this book gives an in-depth account of the subject with numerous examples, detailed proofs, and a brief look at a few applications. Topics include: * The Hille-Yosida and Lumer-Phillips characterizations of semigroup generators * The Trotter-Kato approximation theorem * Kato's unified treatment of the exponential formula and the Trotter product formula * The Hille-Phillips perturbation theorem, and Stone's representation of unitary semigroups * Generalizations of spectral theory's connection to operator semigroups * A natural generalization of Stone's spectral integral representation to a Banach space setting With a collection of miscellaneous exercises at the end of the book and an introductory chapter examining the basic theory involved, this monograph is suitable for second-year graduate students interested in operator semigroups.
650		0	_aMATHEMATICS.
650		0	_aALGEBRA.
650		0	_aGROUP THEORY.
650		0	_aOPERATOR THEORY.
650	1	4	_aMATHEMATICS.
650	2	4	_aOPERATOR THEORY.
650	2	4	_aGROUP THEORY AND GENERALIZATIONS.
650	2	4	_aALGEBRA.
710	2		_aSpringerLink (Online service)
773	0		_tSpringer eBooks
776	0	8	_iPrinted edition: _z9780817649319
830		0	_aProgress in Mathematics ; _v281
856	4	0	_uhttp://dx.doi.org/10.1007/978-0-8176-4932-6 _zVer el texto completo en las instalaciones del CICY
912			_aZDB-2-SMA
942			_2ddc _cER
999			_c59824 _d59824