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Mean convergence of martingales
Author:
Lester L. Helms
Journal:
Trans. Amer. Math. Soc. 87 (1958), 439-446
MSC:
Primary 60.00
MathSciNet review:
0094841
Full-text PDF Free Access
References |
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Additional Information
- [1]
J.
L. Doob, Stochastic processes, John Wiley & Sons Inc., New
York, 1953. MR
0058896 (15,445b)
- [2]
J.
L. Kelley, Convergence in topology, Duke Math. J.
17 (1950), 277–283. MR 0036982
(12,194f)
- [3]
E.
J. McShane, Partial orderings and Moore-Smith limits, Amer.
Math. Monthly 59 (1952), 1–11. MR 0047111
(13,829b)
- [4]
L. L. Helms, Convergence properties of martingales indexed by directed sets, thesis, Purdue University, Lafayette, Ind., 1956.
- [5]
Jean
Dieudonné, Sur un théorème de Jessen,
Fund. Math. 37 (1950), 242–248 (French). MR 0043176
(13,218d)
- [6]
Nelson
Dunford and J.
D. Tamarkin, A principle of Jessen and general Fubini
theorems, Duke Math. J. 8 (1941), 743–749. MR 0005784
(3,207a)
- [7]
Paul
R. Halmos, Measure Theory, D. Van Nostrand Company, Inc., New
York, N. Y., 1950. MR 0033869
(11,504d)
- [8]
Nelson
Dunford, A mean ergodic theorem, Duke Math. J.
5 (1939), 635–646. MR 0000098
(1,18f)
- [9]
C. Birindelli, Sul calcolo dell'integrale di Lebesgue del prodotto di due funzioni e applicazione I, Atti della Accademia Nazionale dei Lincei. Rendiconti. Classe di Scienze Fisiche Matematiche e Naturali (8) vol. 1 (1946).
- [1]
- J. L. Doob, Stochastic processes, New York, Wiley, 1953. MR 0058896 (15:445b)
- [2]
- J. L. Kelley, Convergence in topology, Duke Math. J. vol. 17, no. 3 (1950). MR 0036982 (12:194f)
- [3]
- E. J. McShane, Partial orderings and Moore-Smith limits, Amer. Math. Monthly vol. 59, no. 1 (1952). MR 0047111 (13:829b)
- [4]
- L. L. Helms, Convergence properties of martingales indexed by directed sets, thesis, Purdue University, Lafayette, Ind., 1956.
- [5]
- J. Dieudonné, Sur un théorème de Jessen, Fund. Math. vol. 37 (1950). MR 0043176 (13:218d)
- [6]
- N. Dunford and J. D. Tamarkin, A principle of Jessen and general Fubini theorems, Duke Math. J. vol. 8 (1941). MR 0005784 (3:207a)
- [7]
- Paul R. Halmos, Measure theory, New York, Van Nostrand, 1950. MR 0033869 (11:504d)
- [8]
- N. Dunford, A mean ergodic theorem, Duke Math. J. vol. 5 (1939). MR 0000098 (1:18f)
- [9]
- C. Birindelli, Sul calcolo dell'integrale di Lebesgue del prodotto di due funzioni e applicazione I, Atti della Accademia Nazionale dei Lincei. Rendiconti. Classe di Scienze Fisiche Matematiche e Naturali (8) vol. 1 (1946).
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Additional Information
DOI:
http://dx.doi.org/10.1090/S0002-9947-1958-0094841-0
PII:
S 0002-9947(1958)0094841-0
Article copyright:
© Copyright 1958 American Mathematical Society
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