On the strong law of large numbers for Banach-valued weakly integrable random variables

Zoran R. POP-STOJANOVIC

doi:10.2969/jmsj/02320269

Zoran R. POP-STOJANOVIC

Author information

JOURNAL FREE ACCESS

1971 Volume 23 Issue 2 Pages 269-277

DOI https://doi.org/10.2969/jmsj/02320269

Details

Published: 1971 Received: March 20, 1970 Available on J-STAGE: September 29, 2006 Accepted: - Advance online publication: - Revised: -
Correction information
Date of correction: September 29, 2006 Reason for correction: - Correction: CITATION Details: Wrong : 1) A. Beck, On the strong law of large numbers, Ergodic Theory (ed. F. B. Wright, Academic Press, New York, 1963).
2) J. K. Brooks, Representations of weak and strong integrals in Banach spaces, Proc. Nat. Acad. Sci., U.S.A., 63(2) (1969), 266-270.
3) M. M. Day, Normed linear spaces, Springer-Verlag, Berlin, 1958.
4) J. L. Doob, Stochastic Processes, Wiley, New York, 1953.
5) A. Dvoretzky and C. A. Rogers, Absolute and unconditional convergence in normed spaces, Proc. Nat. Acad. Sci., U.S.A., 36 (1950), 192-197.
6) I. Gelfand, Sur une lemme de la théorie des espaces linéaires, Comm. Inst. Sci., Math. de Kharkoff (4) 13(1936), 35-40.
7) P. Halmos, Measure Theory, Van Nostrand, 1952.
8) E. Hille and R. S. Phillips, Functional Analysis and semi-groups, Colloq. Publ. Amer. Math. Soc., 1957.
9) S. Karlin, Unconditional convergence in Banach spaces, Bull. Amer. Math. Soc., 54 (1948), 148-152.
10) E. Mourier, Elements aléatoires dans un espace de Banach, Gauthier-Villars, Paris, 1954.
11) J. Neveu, Mathematical Foundations of the Calculus of Probability, Holden Day, 1965.
12) B. J. Pettis, On integration in vector spaces, Trans. Amer. Math. Soc., 44 (1938), 277-304.

Right : [1] A. Beck, On the strong law of large numbers, Ergodic Theory (ed. F. B. Wright, Academic Press, New York, 1963).
[2] J. K. Brooks, Representations of weak and strong integrals in Banach spaces, Proc. Nat. Acad. Sci., U. S. A., 63 (2) (1969), 266-270.
[3] M. M. Day, Normed linear spaces, Springer-Verlag, Berlin, 1958.
[4] J. L. Doob, Stochastic Processes, Wiley, New York, 1953.
[5] A. Dvoretzky and C. A. Rogers, Absolute and unconditional convergence in normed spaces, Proc. Nat. Acad. Sci., U. S. A., 36 (1950), 192-197.
[6] I. Gelfand, Sur une lemme de la théorie des espaces linéaires, Comm. Inst. Sci., Math. de Kharkoff (4) 13 (1936), 35-40.
[7] P. Halmos, Measure Theory, Van Nostrand, 1952.
[8] E. Hille and R. S. Phillips, Functional Analysis and semi-groups, Colloq. Publ. Amer. Math. Soc., 1957.
[9] S. Karlin, Unconditional convergence in Banach spaces, Bull. Amer. Math. Soc., 54 (1948), 148-152.
[10] E. Mourier, Elements aléatoires dans un espace de Banach, Gauthier-Villars, Paris, 1954.
[11] J. Neveu, Mathematical Foundations of the Calculus of Probability, Holden Day, 1965.
[12] B. J. Pettis, On integration in vector spaces, Trans. Amer. Math. Soc., 44 (1938), 277-304.

Date of correction: September 29, 2006 Reason for correction: - Correction: PDF FILE Details: -

Corresponding author

Correction information

Register with J-STAGE for free!