Prediction sequences in smooth Banach spaces

M. M. Rao

Annales de l'I.H.P. Probabilités et statistiques (1972)

  • Volume: 8, Issue: 4, page 319-332
  • ISSN: 0246-0203

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Rao, M. M.. "Prediction sequences in smooth Banach spaces." Annales de l'I.H.P. Probabilités et statistiques 8.4 (1972): 319-332. <http://eudml.org/doc/76963>.

@article{Rao1972,
author = {Rao, M. M.},
journal = {Annales de l'I.H.P. Probabilités et statistiques},
language = {eng},
number = {4},
pages = {319-332},
publisher = {Gauthier-Villars},
title = {Prediction sequences in smooth Banach spaces},
url = {http://eudml.org/doc/76963},
volume = {8},
year = {1972},
}

TY - JOUR
AU - Rao, M. M.
TI - Prediction sequences in smooth Banach spaces
JO - Annales de l'I.H.P. Probabilités et statistiques
PY - 1972
PB - Gauthier-Villars
VL - 8
IS - 4
SP - 319
EP - 332
LA - eng
UR - http://eudml.org/doc/76963
ER -

References

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  1. [1] T. Andô and I. Amemiya, Almost everywhere convergence of prediction sequences in Lp, 1 &lt; p &lt; ∞, Z. Wahrscheinlichkeitstheorie verw. Greb., t. 4, 1965, p. 113-120. Zbl0125.36806
  2. [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. Zbl0083.28801MR101611
  3. [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. Zbl0147.11204MR196367
  4. [4] D.F. Cudia, Rotundity, Proc. Symp. Pure Math., Vol. 7, Amer. Math. Soc., 1963, p. 73-97. Zbl0141.11901MR155166
  5. [5] M.M. Day, Normed Linear Spaces, Springer-Verlag, Berlin, 1958. Zbl0082.10603MR94675
  6. [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. Zbl0186.11002MR234186
  7. [7] N. Dunford and J.T. Schwartz, Linear Operators, Part I: General Theory, Interscience, New York, 1958. Zbl0084.10402MR1009162
  8. [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. Zbl0084.33101MR98976
  9. [9] M.A. Krasnosel'skiǐ and Ya.B. Rutickiǐ, Convex Functions and Orlicz Spaces, P. Noordhoff Ltd., Gronigen, 1961. Zbl0095.09103MR126722
  10. [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. Zbl0106.30804MR145374
  11. [11] M.M. Rao, Smoothness of Orlicz spaces, Indag. Math., t. 27, 1965, p. 671-690. Zbl0132.09104MR190704
  12. [12] M.M. Rao, Notes on pointwise convergence of closed martingales, Indag. Math., t. 29, 1967, p. 170-176. Zbl0166.13801MR212857
  13. [13] M.M. Rao, Abstract non linear prediction and operator martingales, J. Multivariate Anal., t. 1, 1971, p. 129-157. Zbl0234.60056MR301794
  14. [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. Zbl0028.07101MR5775JFM67.0400.02
  15. [15] A.C. Zaanen, Integration, North Holland Publishing Co., Amsterdam, 1967. Zbl0175.05002MR222234

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