000			03228nam a22005535i 4500
001			978-0-85729-183-7
003			DE-He213
005			20140220083712.0
007			cr nn 008mamaa
008			101119s2011 xxk| s |||| 0|eng d
020			_a9780857291837 _9978-0-85729-183-7
024	7		_a10.1007/978-0-85729-183-7 _2doi
050		4	_aQA319-329.9
072		7	_aPBKF _2bicssc
072		7	_aMAT037000 _2bisacsh
082	0	4	_a515.7 _223
100	1		_aRoch, Steffen. _eauthor.
245	1	0	_aNon-commutative Gelfand Theories _h[electronic resource] : _bA Tool-kit for Operator Theorists and Numerical Analysts / _cby Steffen Roch, Pedro A. Santos, Bernd Silbermann.
264		1	_aLondon : _bSpringer London, _c2011.
300			_aXIV, 383p. 14 illus., 2 illus. in color. _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		_aBanach algebras -- Local principles -- Banach algebras generated by idempotents -- Singular integral operators -- Convolution operators -- Algebras of operator sequences.
520			_aWritten as a hybrid between a research monograph and a textbook the first half of this book is concerned with basic concepts for the study of Banach algebras that, in a sense, are not too far from being commutative. Essentially, the algebra under consideration either has a sufficiently large center or is subject to a higher order commutator property (an algebra with a so-called polynomial identity or in short: Pl-algebra). In the second half of the book, a number of selected examples are used to demonstrate how this theory can be successfully applied to problems in operator theory and numerical analysis. Distinguished by the consequent use of local principles (non-commutative Gelfand theories), PI-algebras, Mellin techniques and limit operator techniques, each one of the applications presented in chapters 4, 5 and 6 forms a theory that is up to modern standards and interesting in its own right. Written in a way that can be worked through by the reader with fundamental knowledge of analysis, functional analysis and algebra, this book will be accessible to 4th year students of mathematics or physics whilst also being of interest to researchers in the areas of operator theory, numerical analysis, and the general theory of Banach algebras.
650		0	_aMathematics.
650		0	_aFourier analysis.
650		0	_aFunctional analysis.
650		0	_aIntegral equations.
650		0	_aOperator theory.
650		0	_aNumerical analysis.
650	1	4	_aMathematics.
650	2	4	_aFunctional Analysis.
650	2	4	_aNumerical Analysis.
650	2	4	_aIntegral Equations.
650	2	4	_aOperator Theory.
650	2	4	_aFourier Analysis.
700	1		_aSantos, Pedro A. _eauthor.
700	1		_aSilbermann, Bernd. _eauthor.
710	2		_aSpringerLink (Online service)
773	0		_tSpringer eBooks
776	0	8	_iPrinted edition: _z9780857291820
830		0	_aUniversitext
856	4	0	_uhttp://dx.doi.org/10.1007/978-0-85729-183-7
912			_aZDB-2-SMA
999			_c105152 _d105152