000			03171cam a22005175i 4500
001			21936806
003			OSt
005			20220106022457.0
006			m |o d |
007			cr |||||||||||
008			131106s2014 gw |||| o |||| 0|eng
010			_a 2019767835
020			_a9783319020457
024	7		_a10.1007/978-3-319-02045-7 _2doi
035			_a(DE-He213)978-3-319-02045-7
040			_aDLC _beng _epn _erda _cDLC
072		7	_aMAT037000 _2bisacsh
072		7	_aPBKF _2bicssc
072		7	_aPBKF _2thema
082	0	4	_a515.7 _223
100	1		_aOsborne, M. Scott, _eauthor.
245	1	0	_aLocally Convex Spaces / _cby M. Scott Osborne.
250			_a1st ed. 2014.
264		1	_aCham : _bSpringer International Publishing : _bImprint: Springer, _c2014.
300			_a1 online resource (VIII, 213 pages 5 illustrations)
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 ; _v269
505	0		_a1 Topological Groups -- 2 Topological Vector Spaces -- 3 Locally Convex Spaces -- 4 The Classics -- 5 Dual Spaces -- 6 Duals of Fré chet Spaces -- A Topological Oddities -- B Closed Graphs in Topological Groups -- C The Other Krein-Smulian Theorem -- D Further Hints for Selected Exercises -- Bibliography -- Index.
520			_aFor most practicing analysts who use functional analysis, the restriction to Banach spaces seen in most real analysis graduate texts is not enough for their research. This graduate text, while focusing on locally convex topological vector spaces, is intended to cover most of the general theory needed for application to other areas of analysis. Normed vector spaces, Banach spaces, and Hilbert spaces are all examples of classes of locally convex spaces, which is why this is an important topic in functional analysis. While this graduate text focuses on what is needed for applications, it also shows the beauty of the subject and motivates the reader with exercises of varying difficulty. Key topics covered include point set topology, topological vector spaces, the Hahn-Banach theorem, seminorms and Fréchet spaces, uniform boundedness, and dual spaces. The prerequisite for this text is the Banach space theory typically taught in a beginning graduate real analysis course.
588			_aDescription based on publisher-supplied MARC data.
650		0	_aFunctional analysis.
650		0	_aLie groups.
650		0	_aTopological groups.
650	1	4	_aFunctional Analysis. _0https://scigraph.springernature.com/ontologies/product-market-codes/M12066
650	2	4	_aTopological Groups, Lie Groups. _0https://scigraph.springernature.com/ontologies/product-market-codes/M11132
776	0	8	_iPrint version: _tLocally convex spaces _z9783319020440 _w(DLC) 2013951652
776	0	8	_iPrinted edition: _z9783319020440
776	0	8	_iPrinted edition: _z9783319020464
776	0	8	_iPrinted edition: _z9783319343747
830		0	_aGraduate Texts in Mathematics, _x0072-5285 ; _v269
906			_a0 _bibc _corigres _du _encip _f20 _gy-gencatlg
942			_2ddc _cBK
999			_c449098 _d449098