On integration in Banach spaces, XIII. Integration with respect to polymeasures

Ivan Dobrakov

Czechoslovak Mathematical Journal (1990)

  • Volume: 40, Issue: 4, page 566-582
  • ISSN: 0011-4642

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Dobrakov, Ivan. "On integration in Banach spaces, XIII. Integration with respect to polymeasures." Czechoslovak Mathematical Journal 40.4 (1990): 566-582. <http://eudml.org/doc/13879>.

@article{Dobrakov1990,
author = {Dobrakov, Ivan},
journal = {Czechoslovak Mathematical Journal},
keywords = {polymeasure; Kolmogorov integral; Fubini theorems; integration by substitution; Kolmogoroff},
language = {eng},
number = {4},
pages = {566-582},
publisher = {Institute of Mathematics, Academy of Sciences of the Czech Republic},
title = {On integration in Banach spaces, XIII. Integration with respect to polymeasures},
url = {http://eudml.org/doc/13879},
volume = {40},
year = {1990},
}

TY - JOUR
AU - Dobrakov, Ivan
TI - On integration in Banach spaces, XIII. Integration with respect to polymeasures
JO - Czechoslovak Mathematical Journal
PY - 1990
PB - Institute of Mathematics, Academy of Sciences of the Czech Republic
VL - 40
IS - 4
SP - 566
EP - 582
LA - eng
KW - polymeasure; Kolmogorov integral; Fubini theorems; integration by substitution; Kolmogoroff
UR - http://eudml.org/doc/13879
ER -

References

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  1. Blei R. C., Fractional dimensions and bounded fractional forms, Mem. Amer. Math. Soc. 57, (1985), No. 331. (1985) Zbl0623.26015MR0804208
  2. Blei R. C., Multi-linear measure theory and the Grothendieck factorization theorem, Proc. London Math. Soc. (3) 56 (1988), 529-546. (1988) Zbl0661.46057MR0931513
  3. Chang D. K., Rao M. M., 10.1080/07362998808809141, Stochastic Anal. Appl. 6 (1988), 169-189. (1988) MR0940899DOI10.1080/07362998808809141
  4. Dobrakov I., On integration in Banach spaces, I, Czech. Math. J. 20 (95) (1970), 511-536. (1970) Zbl0215.20103MR0365138
  5. Dobrakov I., On integration in Banach spaces, II, Czech. Math. J. 20 (95) (1970), 680-695. (1970) Zbl0224.46050MR0365139
  6. Dobrakov I., On integration in Banach spaces, III, Czech. Math. J. 29 (104) (1979), 478-499. (1979) Zbl0429.28011MR0536071
  7. Dobrakov. I., On integration in Banach spaces, IV, and V, Czech. Math. J. 30 (105) (1980), 259-279, and 610-628. (1980) MR0566051
  8. Dobrakov I., Morales P., On integration in Banach spaces, VI, Czech. Math. J. 35 (110) (1985), 173-187. (1985) Zbl0628.28007MR0787123
  9. Dobrakov I., On integration in Banach spaces, VII, Czech. Math. J. 38 (113) (1988), 434-449. (1988) Zbl0674.28003MR0950297
  10. Dobrakov I., On integration in Banach spaces, VIII (Polymeasures), Czech. Math. J. 37 (112) (1987), 487-506. (1987) Zbl0688.28002MR0904773
  11. Dobrakov I., On integration in Banach spaces, IX, and X (Integration with respect to polymeasures), Czech. Math. J. 38 (113) (1988), 589-601, and 713-725. (1988) MR0962903
  12. Dobrakov I., On integration in Banach spaces, XI (Integration with respect to polymeasures), Czech. Math. J. 39 (114) 1989, (1989) MR1032359
  13. Dobrakov I., On integration in Banach spaces, XII (Integration with respect to polymeasures), Czech. Math. J. Zbl0793.28007
  14. Dobrakov I., On extension of vector polymeasures, Czech. Math. J. 38 (113), (1988), 88-94. (1988) Zbl0688.28005MR0925943
  15. Dobrakov I., [unknown], Czech. Math. J. 21 (96), (1971), 13-30. (1971) Zbl0225.47018MR0276804
  16. Dobrakov I., [unknown], Math. Slovaca 32, (1982), 327-335. (1982) Zbl0525.28009MR0676567
  17. Dobrakov I., Representation of multilinear operators on X 0 ( T i ) , Czech. Math. J. 39 (114), (1989). (1989) MR0992135
  18. Dobrakov I., Representation of multilinear operators on X 0 ( T i , X i ) , I, Atti del Semin. di Mat. Fis. Universita di Modena. 
  19. Dobrakov I., Representation of multilinear operators on X C 0 ( T i , X i ) . II, Czech. Math. J. 
  20. Fréchet M., 10.2307/1988990, Trans. Amer. Math. Soc. 16 (1915), 215-224. (1915) MR1501010DOI10.2307/1988990
  21. Gilbert J. E., Leih T. J., Factorization, tensor products, and bilinear forms in Banach space theory, Notes in Banach spaces, Univ, of Texas Press, Austin, 1980, 182-305. (1980) Zbl0471.46053MR0606223
  22. Gilbert J. E., Ito T., Schreiber B. M., 10.1016/0022-1236(85)90071-0, J. Functional Anal. 64 (1985), 134-162. (1985) Zbl0601.43001MR0812388DOI10.1016/0022-1236(85)90071-0
  23. Graham C. C., Schreiber B. M., 10.2140/pjm.1984.115.91, Pacific J. Math. 115 (1984), 91-127. (1984) Zbl0502.43005MR0762204DOI10.2140/pjm.1984.115.91
  24. Graham C. C., Schreiber B. M., Sets of interpolation for Fourier transforms of bimeasures, Colloq. Math. 51 (1987), 149-154. (1987) Zbl0629.43006MR0891282
  25. Graham C. C., Schreiber B. M., 10.4153/CMB-1988-003-9, Canad. Math. Bull. 31 (1988), 19-25. (1988) MR0932608DOI10.4153/CMB-1988-003-9
  26. Hille E., Phillips R., Functional Analysis and Semigroups, Amer. Math. Soc. Coll. Publ., Providence, 1957. (1957) Zbl0078.10004MR0089373
  27. Johnson B. E., Kadison R. V., Ringrose J. R., Cohomology of operator algebras, III. Reduction to normal cohomology, Bull. Soc. math. France 100 (1972), 73-96. (1972) Zbl0234.46066MR0318908
  28. Kolmogoroff A., 10.1007/BF01455714, Math. Ann. 103 (1930), 654-696. (1930) MR1512641DOI10.1007/BF01455714
  29. Rao M. M., Bimeasures and harmonizable processes (Analysis, Classification, and Representation), UCR Tech. Report No. 14, 1988. (1988) MR1020535
  30. Saeki S., 10.2969/jmsj/02310027, J. Math. Soc. Japan 23 (1971), 27-39. (1971) Zbl0203.13303MR0308810DOI10.2969/jmsj/02310027
  31. Saeki S., 10.2969/jmsj/02810033, J. Math. Soc. Japan 28 (1976), 33-47. (1976) Zbl0313.46022MR0394237DOI10.2969/jmsj/02810033
  32. Varopoulos N. Th., 10.1007/BF02392079, Acta Math. 119 (1967), 51- 112. (1967) Zbl0163.37002MR0240564DOI10.1007/BF02392079
  33. Ylinen K., Noncommutative Fourier transformations of bounded bilinear forms and completely bounded multilinear operators, (UCR Tech. Report No. 12 1987), J. Functional Anal. (to appear) (1987) MR0950088

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