Linear Lusin-measurable functionals in case of a continuous cylinder measure

 Access to full text

 Full (PDF)

1. [1] A. Badrikian, Séminaire sur les fonctions aléatoires linéaires et les mesures cylindriques, L. N. M., 139, Springer, 1970. Zbl0209.48402MR279271
2. [1a] C. Bessaga, A. Pelczynski, Selected topics in infinite-dimensional topology, PWN, Warszawa, 1975. Zbl0304.57001MR478168
3. [2] C. Borell, Random linear functionals and subspaces of probability one, Arkir for matematik, t. 14, 1976, p. 79-92. Zbl0331.60008MR428370
4. [3] S. Chevet, Kernel associated with a cylindrical measure, Probability in Banach spaces III, Proceedings, Medford 1980, L. N. M., 860, Springer, 1981. Zbl0458.60005MR647955
5. [4] A. Clavilier, Noyau, présupports et supports d'une mesure cylindrique, Thèse, Université de Clermont-Ferrand, 1981. 
6. [5] J. Hoffmann-Jorgensen, Integrability of semi-norms, the 0-1 law and the affine kernel for product measures, Studia Math., t. 61, 1977, p. 137-159. Zbl0373.60014MR464382
7. [6] J. Horvath, Topological vector spaces and distributions, t. I, Addison-Wesley, 1966. Zbl0143.15101MR205028
8. [6 a] M. Kanter, Linear spaces and stable processes, J. Functional Anal., t. 9, 1972, p. 441-459. Zbl0232.60023MR295452
9. [7] J. Kuelbs, Some results for probability measures on linear topological space with an application to Strassen's loglog law, J. Functional Anal., t. 14, 1973, p. 28-43. Zbl0292.60007MR356157
10. [8] S. Kwapien, W. Smolenski, On the nuclearity of dual space with convergence in probability topology, Z. Wahrsch. verw. Gebiete, t. 59, 1982, p. 197-201. Zbl0498.60004MR650611
11. [9] W. Slowikowski, Pre-supports of linear probability measures and linear Lusinmeasurable functionals, Dissertationes Math. (Rozprawy Matematyczne), t. 93, 1972, p. 1-43. Zbl0277.60001MR412376
12. [10] W. Slowikowski, Concerning pre-supports of linear probability measures, Measure Theory, Proceedings, Oberwolfach 1979, L. N. M., 794, Springer, 1980. Zbl0436.60012MR577998
13. [11] A.V. Skorohod, Linear and almost linear functionals on a measurable Hilbert space, Theor. Prob. Appl., t. 23, 1978, p. 380-385. Zbl0421.60004MR494352
14. [12] W. Smolenski, Pre-supports and kernels of probability measures in Frechet spaces, Demonstration Math., t. 10, 1977, p. 751-762. Zbl0382.60008MR499064
15. [13] W. Smolenski, Pewne aspekty teorii miar cylindrycznych na przestrzeniach liniowych, Praca doktorska, Warszawa, 1978. 
16. [14] V. Tarieladze, N. Vakhania, Covariances operators of probability measures in locally convex spaces, Theor. Prob. Appl., t. 23, 1978. Zbl0423.60002MR517336
17. [15] K. Urbanik, Random linear functionals and random integrals, Colloq. Math., t. 33, 1975, p. 255-263. Zbl0352.60049MR400324
18. [16] H.V. Weizsacker, A note on infinite dimensional convex sets, Math. Scand., t. 38, 1976, p. 321-324. Zbl0348.52001MR428009