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 |