Prediction sequences in smooth Banach spaces
Annales de l'institut Henri Poincaré. Section B. Calcul des probabilités et statistiques, Tome 8 (1972) no. 4, pp. 319-332.
@article{AIHPB_1972__8_4_319_0,
     author = {Rao, M. M.},
     title = {Prediction sequences in smooth {Banach} spaces},
     journal = {Annales de l'institut Henri Poincar\'e. Section B. Calcul des probabilit\'es et statistiques},
     pages = {319--332},
     publisher = {Gauthier-Villars},
     volume = {8},
     number = {4},
     year = {1972},
     mrnumber = {355568},
     zbl = {0251.60034},
     language = {en},
     url = {http://archive.numdam.org/item/AIHPB_1972__8_4_319_0/}
}
TY  - JOUR
AU  - Rao, M. M.
TI  - Prediction sequences in smooth Banach spaces
JO  - Annales de l'institut Henri Poincaré. Section B. Calcul des probabilités et statistiques
PY  - 1972
SP  - 319
EP  - 332
VL  - 8
IS  - 4
PB  - Gauthier-Villars
UR  - http://archive.numdam.org/item/AIHPB_1972__8_4_319_0/
LA  - en
ID  - AIHPB_1972__8_4_319_0
ER  - 
%0 Journal Article
%A Rao, M. M.
%T Prediction sequences in smooth Banach spaces
%J Annales de l'institut Henri Poincaré. Section B. Calcul des probabilités et statistiques
%D 1972
%P 319-332
%V 8
%N 4
%I Gauthier-Villars
%U http://archive.numdam.org/item/AIHPB_1972__8_4_319_0/
%G en
%F AIHPB_1972__8_4_319_0
Rao, M. M. Prediction sequences in smooth Banach spaces. Annales de l'institut Henri Poincaré. Section B. Calcul des probabilités et statistiques, Tome 8 (1972) no. 4, pp. 319-332. http://archive.numdam.org/item/AIHPB_1972__8_4_319_0/

[1] T. Andô and I. Amemiya, Almost everywhere convergence of prediction sequences in Lp, 1 < p < ∞, Z. Wahrscheinlichkeitstheorie verw. Greb., t. 4, 1965, p. 113-120. | Zbl

[2] R.C. Buck, Linear spaces and approximation theory, in On Numerical Approximation (Ed. R. E. Langer). Univ. Wisconsin Press, Madison, 1959, p. 11-23. | MR | Zbl

[3] R.C. Buck, Application of duality in approximation theory, in Approximation of Functions (Ed. H. L. Garabedian), Elsevier, New York, 1965, p. 27-42. | MR | Zbl

[4] D.F. Cudia, Rotundity, Proc. Symp. Pure Math., Vol. 7, Amer. Math. Soc., 1963, p. 73-97. | MR | Zbl

[5] M.M. Day, Normed Linear Spaces, Springer-Verlag, Berlin, 1958. | MR | Zbl

[6] R.J. Duffin and L.A. Karlovitz, Formulation of linear programs in analysis I: Approximation theory, S. I. A. M. J. Appl. Math., t. 16, 1968, p. 662-675. | MR | Zbl

[7] N. Dunford and J.T. Schwartz, Linear Operators, Part I: General Theory, Interscience, New York, 1958. | MR | Zbl

[8] K. Fan and I. Glicksberg, Some geometric properties of the spheres in a normed linear space, Duke Math. J., t. 25, 1958, p. 553-568. | MR | Zbl

[9] M.A. Krasnosel'Skiǐ and Ya.B. Rutickiǐ, Convex Functions and Orlicz Spaces, P. Noordhoff Ltd., Gronigen, 1961. | MR | Zbl

[10] W.A.J. Luxemburg and A.C. Zaanen, Compactness of integral operators in Banach function spaces, Math. Ann., t. 149, 1963, p. 150-180. | MR | Zbl

[11] M.M. Rao, Smoothness of Orlicz spaces, Indag. Math., t. 27, 1965, p. 671-690. | MR | Zbl

[12] M.M. Rao, Notes on pointwise convergence of closed martingales, Indag. Math., t. 29, 1967, p. 170-176. | MR | Zbl

[13] M.M. Rao, Abstract non linear prediction and operator martingales, J. Multivariate Anal., t. 1, 1971, p. 129-157. | MR | Zbl

[14] V.L. Šmulian, Sur la structure de la sphère unitaire dans l'espace de Banach, Mat. Sb. (N. S.), t. 9 (51), 1941, p. 545-561. | JFM | MR

[15] A.C. Zaanen, Integration, North Holland Publishing Co., Amsterdam, 1967. | MR | Zbl