Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
Preview
Unable to display preview. Download preview PDF.
Bibliography
A. Beck and P. Warren, Strong laws of large numbers for weakly orthogonal sequences of Banach space-valued random variables, Annals of Probability, vol. 2, No. 5, 1974, pp. 918–925.
M.M. Day, Normed Linear Spaces, Third Edition, Springer-Verlag, New York, 1973.
J.L. Doob, Stochastic Processes, Wiley, New York, 1953.
R.E. Edwards, Functional Analysis, Holt, Rinehart and Winston, New York, 1965.
R. Fortet and E. Mourier, Les fonctions aléatoires comme élements aléatoires dans les espaces de Banach, Studia Math., 15, 1955, pp. 62–79.
J. Giles, Classes of semi-inner product spaces, Trans. Amer. Math. Soc., 129 (1967), pp. 436–446.
S. Gudder and D. Strawther, Orthogonally additive and orthogonally monotone functions on vector spaces, Pacific J. Math. (to appear).
J. Hoffmann-Jørgensen, On the modulus of smoothness and the G α-conditions in B-spaces, Aarhus Universitat preprint series 1974/75, No.2.
R.C. James, Orthogonality and linear functionals in normed linear spaces, Trans. Amer. Math. Soc., 61 (1947), pp. 265–292.
E. Leonard and K. Sundaresan, Geometry of Lebesque-Bochner function spaces-smoothness, Trans. Amer. Math. Soc., Oct. 1974.
M. Menaker and D. Lay, A Riesz-Frechet theorem for Banach spaces, unpublished.
K. Sundaresan, Smooth Banach spaces, Math. Ann., 173 (1967), pp. 191–199.
B.E. Veic, Orthogonal systems of elements in smooth Banach spaces, Soviet Math. Dokl., Vol. 11 (1970), No. 3, pp. 553–557.
W.H. Woyczynski, Random series and laws of large numbers in some Banach spaces, Theor. Prob. Appl., 18 (1973), pp. 361–367.
Author information
Authors and Affiliations
Editor information
Rights and permissions
Copyright information
© 1976 Springer-Verlag
About this paper
Cite this paper
Warren, P., Howell, J. (1976). A strong law of large numbers for orthogonal Banach space-valued random variables. In: Beck, A. (eds) Probability in Banach Spaces. Lecture Notes in Mathematics, vol 526. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0082359
Download citation
DOI: https://doi.org/10.1007/BFb0082359
Published:
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-540-07793-0
Online ISBN: 978-3-540-38256-0
eBook Packages: Springer Book Archive