000			03099nam a22004455i 4500
001			978-0-8176-4596-0
003			DE-He213
005			20251006084437.0
007			cr nn 008mamaa
008			100301s2007 xxu| s |||| 0|eng d
020			_a9780817645960
020			_a99780817645960
024	7		_a10.1007/978-0-8176-4596-0 _2doi
082	0	4	_a510.9 _223
100	1		_aPietsch, Albrecht. _eauthor.
245	1	0	_aHistory of Banach Spaces and Linear Operators _h[electronic resource] / _cby Albrecht Pietsch.
264		1	_aBoston, MA : _bBirkhäuser Boston, _c2007.
300			_aXXIII, 855 p. 82 illus. _bonline resource.
336			_atext _btxt _2rdacontent
337			_acomputer _bc _2rdamedia
338			_aonline resource _bcr _2rdacarrier
347			_atext file _bPDF _2rda
505	0		_aThe Birth of Banach Spaces -- Historical Roots and Basic Results -- Topological Concepts - Weak Topologies -- Classical Banach Spaces -- Basic Results from the Post-Banach Period -- Modern Banach Space Theory - Selected Topics -- Miscellaneous Topics -- Mathematics Is Made by Mathematicians.
520			_aNamed for Banach, one of the great mathematicians of the twentieth century, the concept of Banach spaces figures prominently in the study of functional analysis with applications to integral and differential equations, approximation theory, harmonic analysis, convex geometry, numerical mathematics, analytic complexity, and probability theory. Written by a distinguished specialist in functional analysis, this book presents a comprehensive treatment of the history of Banach spaces and (abstract bounded) linear operators. While other historical texts on the subject focus on developments before 1950, this one is mainly devoted to the second half of the 20th century. Banach space theory is presented in a broad mathematical context, using tools from such areas as set theory, topology, algebra, combinatorics, probability theory, and logic. Equal emphasis is given to both spaces and operators. Numerous examples and counterexamples elucidate the scope of the underlying concepts. As a stimulus for further research, the text also contains many problems which have not been previously solved. The book may serve as a reference for researchers and as an introduction for graduate students who want to learn Banach space theory with some historical flavor. Helpful information is also provided for professors preparing their own lectures on functional analysis.
650		0	_aMATHEMATICS.
650		0	_aFUNCTIONAL ANALYSIS.
650		0	_aOPERATOR THEORY.
650		0	_aMATHEMATICS_{DOLLAR}XHISTORY.
650	1	4	_aMATHEMATICS.
650	2	4	_aHISTORY OF MATHEMATICS.
650	2	4	_aFUNCTIONAL ANALYSIS.
650	2	4	_aOPERATOR THEORY.
710	2		_aSpringerLink (Online service)
773	0		_tSpringer eBooks
776	0	8	_iPrinted edition: _z9780817643676
856	4	0	_uhttp://dx.doi.org/10.1007/978-0-8176-4596-0 _zVer el texto completo en las instalaciones del CICY
912			_aZDB-2-SMA
942			_2ddc _cER
999			_c59717 _d59717