000			01927nam a22003498i 4500
001			CR9780511662423
003			UkCbUP
005			20200124160234.0
006			m|||||o||d||||||||
007			cr||||||||||||
008			091215s1982||||enk o ||1 0|eng|d
020			_a9780511662423 (ebook)
020			_z9780521285988 (paperback)
040			_aUkCbUP _beng _erda _cUkCbUP
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.
264		1	_aCambridge : _bCambridge University Press, _c1982.
300			_a1 online resource (145 pages) : _bdigital, PDF file(s).
336			_atext _btxt _2rdacontent
337			_acomputer _bc _2rdamedia
338			_aonline resource _bcr _2rdacarrier
490	1		_aLondon Mathematical Society lecture note series ; _v63
500			_aTitle from publisher's bibliographic system (viewed on 05 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
830		0	_aLondon Mathematical Society lecture note series ; _v63.
856	4	0	_uhttps://doi.org/10.1017/CBO9780511662423
999			_c517926 _d517924