000			03164nam a22005055i 4500
001			978-1-4757-4383-8
003			DE-He213
005			20210602114700.0
007			cr nn 008mamaa
008			130221s2007 xxu| s |||| 0|eng d
020			_a9781475743838 _9978-1-4757-4383-8
024	7		_a10.1007/978-1-4757-4383-8 _2doi
050		4	_aQA299.6-433
072		7	_aPBK _2bicssc
072		7	_aMAT034000 _2bisacsh
072		7	_aPBK _2thema
082	0	4	_a515 _223
100	1		_aConway, John B. _eauthor. _4aut _4http://id.loc.gov/vocabulary/relators/aut
245	1	2	_aA Course in Functional Analysis _h[electronic resource] / _cby John B Conway.
250			_a2nd ed. 2007.
264		1	_aNew York, NY : _bSpringer New York : _bImprint: Springer, _c2007.
300			_aXVI, 400 p. _bonline resource.
336			_atext _btxt _2rdacontent
337			_acomputer _bc _2rdamedia
338			_aonline resource _bcr _2rdacarrier
347			_atext file _bPDF _2rda
490	1		_aGraduate Texts in Mathematics, _x0072-5285 ; _v96
505	0		_aI Hilbert Spaces -- II Operators on Hilbert Space -- III Banach Spaces -- IV Locally Convex Spaces -- V Weak Topologies -- VI Linear Operators on a Banach Space -- VII Banach Algebras and Spectral Theory for Operators on a Banach Space -- VIII C*-Algebras -- IX Normal Operators on Hilbert Space -- X Unbounded Operators -- XI Fredholm Theory -- Appendix A Preliminaries -- §1. Linear Algebra -- §2. Topology -- List of Symbols.
520			_aFunctional analysis has become a sufficiently large area of mathematics that it is possible to find two research mathematicians, both of whom call themselves functional analysts, who have great difficulty understanding the work of the other. The common thread is the existence of a linear space with a topology or two (or more). Here the paths diverge in the choice of how that topology is defined and in whether to study the geometry of the linear space, or the linear operators on the space, or both. In this book I have tried to follow the common thread rather than any special topic. I have included some topics that a few years ago might have been thought of as specialized but which impress me as interesting and basic. Near the end of this work I gave into my natural temptation and included some operator theory that, though basic for operator theory, might be considered specialized by some functional analysts.
650		0	_aMathematical analysis.
650		0	_aAnalysis (Mathematics).
650	1	4	_aAnalysis. _0https://scigraph.springernature.com/ontologies/product-market-codes/M12007
710	2		_aSpringerLink (Online service)
773	0		_tSpringer Nature eBook
776	0	8	_iPrinted edition: _z9781441930927
776	0	8	_iPrinted edition: _z9780387972459
776	0	8	_iPrinted edition: _z9781475743845
776	0	8	_iPrinted edition: _z9781493970834
830		0	_aGraduate Texts in Mathematics, _x0072-5285 ; _v96
856	4	0	_uhttps://doi.org/10.1007/978-1-4757-4383-8
912			_aZDB-2-SMA
912			_aZDB-2-SXMS
999			_c9433 _d9433