000			03126nam a22004693i 4500
001			EBC4832037
003			MiAaPQ
005			20240729131156.0
006			m o d |
007			cr cnu||||||||
008			240724s2015 xx o ||||0 eng d
020			_a9781470426170 _q(electronic bk.)
020			_z9781470414658
035			_a(MiAaPQ)EBC4832037
035			_a(Au-PeEL)EBL4832037
035			_a(CaPaEBR)ebr11367322
035			_a(OCoLC)920024463
040			_aMiAaPQ _beng _erda _epn _cMiAaPQ _dMiAaPQ
050		4	_aQA273.J367 2015
082	0		_a515/.732
100	1		_aJanson, Svante.
245	1	0	_aHigher Moments of Banach Space Valued Random Variables.
250			_a1st ed.
264		1	_aProvidence : _bAmerican Mathematical Society, _c2015.
264		4	_c©2015.
300			_a1 online resource (124 pages)
336			_atext _btxt _2rdacontent
337			_acomputer _bc _2rdamedia
338			_aonline resource _bcr _2rdacarrier
490	1		_aMemoirs of the American Mathematical Society ; _vv.238
505	0		_aCover -- Title page -- Chapter 1. Introduction -- Chapter 2. Preliminaries -- 2.1. Notations -- 2.2. Measurability -- 2.3. Tensor products of Banach spaces -- 2.4. Vector-valued integration -- Chapter 3. Moments of Banach space valued random variables -- 3.1. Moments -- 3.2. Examples -- Chapter 4. The approximation property -- Chapter 5. Hilbert spaces -- Chapter 6. ^{ }( ) -- Chapter 7. ( ) -- Chapter 8. ₀( ) -- Chapter 9. [0,1] -- 9.1. [0,1] as a Banach space -- 9.2. [0,1] as a Banach algebra -- 9.3. Measurability and random variables in \doi -- 9.4. Moments of [0,1]-valued random variables -- Chapter 10. Uniqueness and Convergence -- 10.1. Uniqueness -- 10.2. Convergence -- Appendix A. The Reproducing Hilbert Space -- Appendix B. The Zolotarev Distances -- B.1. Fréchet differentiablity -- B.2. Zolotarev distances -- Bibliography -- Back Cover.
520			_aThe authors define the k:th moment of a Banach space valued random variable as the expectation of its k:th tensor power; thus the moment (if it exists) is an element of a tensor power of the original Banach space. The authors study both the projective and injective tensor products, and their relation. Moreover, in order to be general and flexible, we study three different types of expectations: Bochner integrals, Pettis integrals and Dunford integrals.
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	_aRandom variables.
655		4	_aElectronic books.
700	1		_aKaijser, Sten.
776	0	8	_iPrint version: _aJanson, Svante _tHigher Moments of Banach Space Valued Random Variables _dProvidence : American Mathematical Society,c2015 _z9781470414658
797	2		_aProQuest (Firm)
830		0	_aMemoirs of the American Mathematical Society
856	4	0	_uhttps://ebookcentral.proquest.com/lib/orpp/detail.action?docID=4832037 _zClick to View
999			_c124857 _d124857