000			02049nam a22003858a 4500
001			CR9780511662423
003			UkCbUP
005			20160624102256.0
006			m|||||o||d||||||||
007			cr||||||||||||
008			091215s1982||||enk s ||1 0|eng|d
020			_a9780511662423 (ebook)
020			_z9780521285988 (paperback)
040			_aUkCbUP _cUkCbUP _erda
050	0	0	_aQA326 _b.S56 1982
082	0	0	_a512/.55 _219
100	1		_aSinclair, Allan M., _eauthor.
245	1	0	_aContinuous Semigroups in Banach Algebras / _cAllan M. Sinclair.
260		1	_aCambridge : _bCambridge University Press, _c1982.
264		1	_aCambridge : _bCambridge University Press, _c1982.
300			_a1 online resource (152 pages) : _bdigital, PDF file(s).
336			_atext _btxt _2rdacontent
337			_acomputer _bc _2rdamedia
338			_aonline resource _bcr _2rdacarrier
490	0		_aLondon Mathematical Society Lecture Note Series ; _vno. 63
500			_aTitle from publisher's bibliographic system (viewed on 16 Oct 2015).
520			_aIn these notes the abstract theory of analytic one-parameter semigroups in Banach algebras is discussed, with the Gaussian, Poisson and fractional integral semigroups in convolution Banach algebras serving as motivating examples. Such semigroups are constructed in a Banach algebra with a bounded approximate identity. Growth restrictions on the semigroup are linked to the structure of the underlying Banach algebra. The Hille-Yosida Theorem and a result of J. Esterle's on the nilpotency of semigroups are proved in detail. The lecture notes are an expanded version of lectures given by the author at the University of Edinburgh in 1980 and can be used as a text for a graduate course in functional analysis.
650		0	_aBanach algebras
650		0	_aSemigroups
776	0	8	_iPrint version: _z9780521285988
786			_dCambridge
830		0	_aLondon Mathematical Society Lecture Note Series ; _vno. 63.
856	4	0	_uhttp://dx.doi.org/10.1017/CBO9780511662423
942			_2EBK11999 _cEBK
999			_c41293 _d41293