@article{AIHPB_1980__16_1_29_0,
author = {Weron, Aleksander},
title = {Second order stochastic processes and the dilation theory in Banach spaces},
journal = {Annales de l'I.H.P. Probabilit\'es et statistiques},
volume = {16},
year = {1980},
pages = {29-38},
mrnumber = {575174},
zbl = {0445.60010},
language = {en},
url = {http://dml.mathdoc.fr/item/AIHPB_1980__16_1_29_0}
}
Weron, Aleksander. Second order stochastic processes and the dilation theory in Banach spaces. Annales de l'I.H.P. Probabilités et statistiques, Tome 16 (1980) pp. 29-38. http://gdmltest.u-ga.fr/item/AIHPB_1980__16_1_29_0/
[1] and , Banach space valued stationary processes and their linear prediction, Dissertationes Math., t. 125, 1975, p. 1-45. | MR 451373 | Zbl 0342.60031
[2] and , An analogue of Sz.-Nagy's dilation theorem, Bull. Acad. Polon. Sci., t. 24, 1976, p. 867-872. | MR 425644 | Zbl 0343.47001
[3] and , Aronszajn-Kolmogorov type theorems for positive definite kernels in locally convex spaces, Studia Math., t. 69 (to appear). | MR 647140 | Zbl 0473.46003
[4] , An isomorphic theorem for Banach space valued stationary stochastic sequences, Bull. Acad. Polon. Sci., t. 26, 1978, p. 169-173. | MR 488250 | Zbl 0385.60046
[5] and , A decomposition of the density of operator valued measure in Banach spaces, Bull. Acad. Polon. Sci. (to appear).
[6] and , Subordination of infinite-dimensional stationary stochastic processes, Ann. Inst. Henri Poincaré, t. 6, 1970, p. 115-130. | Numdam | MR 268953 | Zbl 0196.19101
[7] , Dilations as propagators of Hilbertian varieties, S. I. A. M. J. Anal., t. 9, 1978, p. 414-456. | MR 500218 | Zbl 0391.47005
[8], Propagators and dilations, Lecture Notes in Math., p. 656, 1978, p. 95-117, Springer Verlag. | MR 521025 | Zbl 0388.46017
[9], Integrations with respect to processes of linear functionals, Séminaire de Rennes, 1975.
[10] and , Cylindrical stochastic integral, Séminaire de Rennes, 1976.
[11] , Dilations of Hilbert space operators (general theory), Dissertationes Math., t. 153, 1978, p. 1-61. | MR 496046 | Zbl 0411.47004
[12] and , Dilations of Banach space operator valued functions, Ann. Polon. Math. (to appear). | MR 599254 | Zbl 0454.47008
[13] and , Examples of non-stationary Banach space valued processes of second order, Lecture Notes in Math., t. 656, 1978, p. 171- 181, Springer Verlag. | Zbl 0394.60039
[14] , Functions aleatoires du second ordre a valeurs dans un espace de Hilbert, Ann. Inst. Henri Poincaré, t. 3, 1967, p. 323-396. | Numdam | MR 231438 | Zbl 0159.45901
[15] , Mutual subordination of multivariate stationary processes over any locally compact Abelian group, Z. Wahrschernlichkeits theorie verw. Geb., t. 12, 1969, p. 333-343. | MR 251790 | Zbl 0235.60038
[16] , On the boundedness condition involved in dilation theory, Bull. Acad. Polon, t. 24, 1976, p. 877-881. | MR 425645 | Zbl 0343.47003
[17], Dilations on involution semigroups, Proc. Amer. Math. Soc. | MR 473873 | Zbl 0369.47004
[18] , Apropos Professor Masani's talk, Lecture Notes in Math., t. 656, 1978, p. 245-249. | MR 521034 | Zbl 0388.46018
[19] , Prediction theory in Banach spaces, Lecture Notes in Math., t. 472, 1975, p. 207-228, Springer Verlag. | MR 394849 | Zbl 0314.60032
[20] , Remarks on positive-definite operator valued functions in Banach spaces, Bull. Acad. Polon. t. 24, 1976, p. 873-876. | MR 433233 | Zbl 0343.47002