000 02437nam a22003978a 4500
001 CR9780511526176
003 UkCbUP
005 20160624102258.0
006 m|||||o||d||||||||
007 cr||||||||||||
008 090407s1984||||enk s ||1 0|eng|d
020 _a9780511526176 (ebook)
020 _z9780521317153 (paperback)
040 _aUkCbUP
_cUkCbUP
_erda
050 0 0 _aQA274.5
_b.E37 1984
082 0 0 _a519.2/87
_219
100 1 _aEgghe, L.,
_eauthor.
245 1 0 _aStopping Time Techniques for Analysts and Probabilists /
_cL. Egghe.
246 3 _aStopping Time Techniques for Analysts & Probabilists
260 1 _aCambridge :
_bCambridge University Press,
_c1984.
264 1 _aCambridge :
_bCambridge University Press,
_c1984.
300 _a1 online resource (368 pages) :
_bdigital, PDF file(s).
336 _atext
_btxt
_2rdacontent
337 _acomputer
_bc
_2rdamedia
338 _aonline resource
_bcr
_2rdacarrier
490 0 _aLondon Mathematical Society Lecture Note Series ;
_vno. 100
500 _aTitle from publisher's bibliographic system (viewed on 16 Oct 2015).
520 _aThis book considers convergence of adapted sequences of real and Banach space-valued integrable functions, emphasizing the use of stopping time techniques. Not only are highly specialized results given, but also elementary applications of these results. The book starts by discussing the convergence theory of martingales and sub-( or super-) martingales with values in a Banach space with or without the Radon-Nikodym property. Several inequalities which are of use in the study of the convergence of more general adapted sequence such as (uniform) amarts, mils and pramarts are proved and sub- and superpramarts are discussed and applied to the convergence of pramarts. Most of the results have a strong relationship with (or in fact are characterizations of) topological or geometrical properties of Banach spaces. The book will interest research and graduate students in probability theory, functional analysis and measure theory, as well as proving a useful textbook for specialized courses on martingale theory.
650 0 _aMartingales (Mathematics)
650 0 _aConvergence
776 0 8 _iPrint version:
_z9780521317153
786 _dCambridge
830 0 _aLondon Mathematical Society Lecture Note Series ;
_vno. 100.
856 4 0 _uhttp://dx.doi.org/10.1017/CBO9780511526176
942 _2EBK12096
_cEBK
999 _c41390
_d41390