An operator-valued stochastic integral, III

D. Kannan

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

  • Volume: 8, Issue: 3, page 217-228
  • ISSN: 0246-0203

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Kannan, D.. "An operator-valued stochastic integral, III." Annales de l'I.H.P. Probabilités et statistiques 8.3 (1972): 217-228. <http://eudml.org/doc/76956>.

@article{Kannan1972,
author = {Kannan, D.},
journal = {Annales de l'I.H.P. Probabilités et statistiques},
language = {eng},
number = {3},
pages = {217-228},
publisher = {Gauthier-Villars},
title = {An operator-valued stochastic integral, III},
url = {http://eudml.org/doc/76956},
volume = {8},
year = {1972},
}

TY - JOUR
AU - Kannan, D.
TI - An operator-valued stochastic integral, III
JO - Annales de l'I.H.P. Probabilités et statistiques
PY - 1972
PB - Gauthier-Villars
VL - 8
IS - 3
SP - 217
EP - 228
LA - eng
UR - http://eudml.org/doc/76956
ER -

References

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  1. [1] P. Billingsley, Convergence of probability measures. John Wiley, New York, 1968. Zbl0172.21201MR233396
  2. [2] N. Dunford and J.T. Schwartz, Linear operators, Part II, Spectral theory. John Wiley (Interscience), New York, 1963. Zbl0128.34803MR1009163
  3. [3] B.V. Gnedenko and A.N. Kolnogorov, Limit distributions for sums of independent random variables. Addison-Wesley Publ. Co., Reading, Massachusetts, 1954. Zbl0056.36001MR62975
  4. [4] E. Hille and R.S. Phillips, Functional analysis and semi-groups. Amer. Math. Soc., Colloq. Publ., vol. 31, 1957. Zbl0078.10004MR89373
  5. [5] D. Kannan and A.T. Bharucha-Reid, Note on covariance operators of probability measures on a Hilbert space. Proc. Japan Acad., vol. 46, 1970, p. 124-129. Zbl0208.43501MR283838
  6. [6] D. Kannan and A.T. Bharucha-Reid, An operator-valued stochastic integral. Proc. Japan Acad., vol. 47, 1971, p. 472-476. Zbl0256.60029MR303604
  7. [7] D. Kannan, An operator-valued stochastic integral. II. Ann. Inst. Henri Poincaré, Sect. B, vol. 8, 1972, p. 9-32. Zbl0256.60030MR321176
  8. [8] R.G. Laha and E. Lukacs, On identically distributed stochastic integrals, Trans. III Prague conf. on Information Theory Statistical Decision Functions, Random Processes. Publishing House of Czechoslovak Acad. Sci., 1964, p. 467-474. Zbl0137.13205MR168011
  9. [9] E. Lukacs, Stochastic Convergence. D. C. Heath and Co., Massachusetts, 1968. Zbl0179.48003
  10. [10] K.R. Parthasarthy, Probability measures on metric spaces. Academic Press, New York, 1967. Zbl0153.19101
  11. [11] R. Schatten, Norm ideals of completely continuous operators. Springer-Verlag, Berlin, 1960. Zbl0090.09402MR119112
  12. [12] S.R.S. Varadhan, Limit theorems for sums of independent random variables with values in a Hilbert space. Sankhya, vol. 24, 1962, p. 213-238. Zbl0113.34101MR171305

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