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  1. Acta Mathematica Sinica, English Series
  2. Acta Mathematica Sinica, English Series : Volume 24
  3. Acta Mathematica Sinica, English Series : Volume 24, Issue 2, February 2008
  4. Amarts on Riesz spaces
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Acta Mathematica Sinica, English Series : Volume 32
Acta Mathematica Sinica, English Series : Volume 31
Acta Mathematica Sinica, English Series : Volume 30
Acta Mathematica Sinica, English Series : Volume 29
Acta Mathematica Sinica, English Series : Volume 28
Acta Mathematica Sinica, English Series : Volume 27
Acta Mathematica Sinica, English Series : Volume 26
Acta Mathematica Sinica, English Series : Volume 25
Acta Mathematica Sinica, English Series : Volume 24
Acta Mathematica Sinica, English Series : Volume 24, Issue 12, December 2008
Acta Mathematica Sinica, English Series : Volume 24, Issue 11, November 2008
Acta Mathematica Sinica, English Series : Volume 24, Issue 10, October 2008
Acta Mathematica Sinica, English Series : Volume 24, Issue 9, September 2008
Acta Mathematica Sinica, English Series : Volume 24, Issue 8, August 2008
Acta Mathematica Sinica, English Series : Volume 24, Issue 7, July 2008
Acta Mathematica Sinica, English Series : Volume 24, Issue 6, June 2008
Acta Mathematica Sinica, English Series : Volume 24, Issue 5, May 2008
Acta Mathematica Sinica, English Series : Volume 24, Issue 4, April 2008
Acta Mathematica Sinica, English Series : Volume 24, Issue 3, March 2008
Acta Mathematica Sinica, English Series : Volume 24, Issue 2, February 2008
On multiple singular integrals along polynomial curves with rough kernels
Von neumann regularity and quadratic conorms in JB*-triples and C*-algebras
Explicit forms of q-deformed Lévy-Meixner polynomials and their generating functions
A generalization on the difference between an integer and its inverse modulo Q
On the regularity for stationary harmonic maps
On the toroidal Leibniz algebras
A nonstandard Lévy-Khintchine formula and Lévy processes
The dissipative quasi-geostrophic equation in weak Morrey spaces
Periodic orbits for some systems of delay differential equations
Properties of super-Poisson processes and super-random walks with spatially dependent branching rates
A superalgebraic interpretation of the quantization maps of Weil algebras
Uniform boundedness of torsion subgroups of linear groups
Schur functors on QF-3 standardly stratified algebras
Exponential bounds for ruin probability in two moving average risk models with constant interest rate
Amarts on Riesz spaces
Applications of an explicit formula for the generalized Euler Numbers
Acta Mathematica Sinica, English Series : Volume 24, Issue 1, January 2008
Acta Mathematica Sinica, English Series : Volume 23
Acta Mathematica Sinica, English Series : Volume 22
Acta Mathematica Sinica, English Series : Volume 21
Acta Mathematica Sinica, English Series : Volume 20
Acta Mathematica Sinica, English Series : Volume 19
Acta Mathematica Sinica, English Series : Volume 18
Acta Mathematica Sinica, English Series : Volume 17
Acta Mathematica Sinica, English Series : Volume 16
Acta Mathematica Sinica, English Series : Volume 15
Acta Mathematica Sinica, English Series : Volume 14
Acta Mathematica Sinica, English Series : Volume 13

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Amarts on Riesz spaces

Content Provider SpringerLink
Author Watson, Bruce A. Labuschagne, Coenraad C. A. Kuo, Wen Chi
Copyright Year 2008
Abstract The concepts of conditional expectations, martingales and stopping times were extended to the Riesz space context by Kuo, Labuschagne and Watson (Discrete time stochastic processes on Riesz spaces, Indag. Math., 15 (2004), 435–451). Here we extend the definition of an asymptotic martingale (amart) to the Riesz spaces context, and prove that Riesz space amarts can be decomposed into the sum of a martingale and an adapted sequence convergent to zero. Consequently an amart convergence theorem is deduced.
Ending Page 342
Page Count 14
Starting Page 329
File Format PDF
ISSN 14398516
e-ISSN 14397617
Journal Acta Mathematica Sinica, English Series
Issue Number 2
Volume Number 24
Language English
Publisher Institute of Mathematics, Chinese Academy of Sciences and Chinese Mathematical Society
Publisher Date 2008-03-08
Publisher Place Heidelberg
Access Restriction One Nation One Subscription (ONOS)
Subject Keyword Operators on ordered spaces Banach lattice Riesz space martingale Stopping times; optimal stopping problems; gambling theory Mathematics Martingales with discrete parameter Generalizations of martingales amart
Content Type Text
Resource Type Article
Subject Applied Mathematics
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