000			02828nam a22004693i 4500
001			EBC3113913
003			MiAaPQ
005			20240729124554.0
006			m o d |
007			cr cnu||||||||
008			240724s1996 xx o ||||0 eng d
020			_a9781470401641 _q(electronic bk.)
020			_z9780821804636
035			_a(MiAaPQ)EBC3113913
035			_a(Au-PeEL)EBL3113913
035			_a(CaPaEBR)ebr10918866
035			_a(OCoLC)851088752
040			_aMiAaPQ _beng _erda _epn _cMiAaPQ _dMiAaPQ
050		4	_aQA3 -- .K375 1996eb
082	0		_a515/.43
100	1		_aKaplan, Samuel.
245	1	0	_aLebesgue Theory in the Bidual of C(X).
250			_a1st ed.
264		1	_aProvidence : _bAmerican Mathematical Society, _c1996.
264		4	_c©1996.
300			_a1 online resource (143 pages)
336			_atext _btxt _2rdacontent
337			_acomputer _bc _2rdamedia
338			_aonline resource _bcr _2rdacarrier
490	1		_aMemoirs of the American Mathematical Society ; _vv.121
505	0		_aIntro -- Contents -- Introduction -- 1 Preliminaries -- Chapter 1 [omitted][sup(∞)] -- 2 The upper and lower "envelopes" of an element -- 3 The "boundary" of an element -- 4 The "integrable elements -- 5 The negligible elements -- 6 The "μ-integrable elements -- Chapter 2 Convergence -- 7 Almost everywhere order convergence -- 8 Unbounded order convergence -- 9 Almost everywhere unbounded order convergence -- 10 The Dieudonné topology -- 11 Convergence in Measure -- 12 Sequences in [omitted][sup(∞)] -- Chapter 3 Some classical theorems -- 13 Elementary theorems -- 14 The Egorov Theorem -- 15 The Lusin Theorem -- Chapter 4 The Projection of C" onto C"[sub(α)] -- 16 The star elements -- 17 [omitted][sup(∞)] and the star elements -- 18 [omitted][sup(∞)][sub(α)] -- 19 Convergence in C"[sub(α)] -- 20 Back to [omitted][sup(∞)][sub(α)] -- Chapter 5 Lebesgue Theory in C"[sub(α)] -- 21 ∫[sup(*)]fdμ, ∫[sub(*)]fdμ -- 22 ∫fdμ -- 23 The classical theorems -- References -- Index of Terminology -- Index of Symbols.
588			_aDescription based on publisher supplied metadata and other sources.
590			_aElectronic reproduction. Ann Arbor, Michigan : ProQuest Ebook Central, 2024. Available via World Wide Web. Access may be limited to ProQuest Ebook Central affiliated libraries.
650		0	_aLebesgue integral.
650		0	_aRadon measures.
650		0	_aBanach lattices.
655		4	_aElectronic books.
776	0	8	_iPrint version: _aKaplan, Samuel _tLebesgue Theory in the Bidual of C(X) _dProvidence : American Mathematical Society,c1996 _z9780821804636
797	2		_aProQuest (Firm)
830		0	_aMemoirs of the American Mathematical Society
856	4	0	_uhttps://ebookcentral.proquest.com/lib/orpp/detail.action?docID=3113913 _zClick to View
999			_c69444 _d69444