Integration of vector-valued functions with respect to an operator-valued measure

Sunil Kumar Roy; N. D. Chakraborty

Czechoslovak Mathematical Journal (1986)

  • Volume: 36, Issue: 2, page 198-209
  • ISSN: 0011-4642

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Roy, Sunil Kumar, and Chakraborty, N. D.. "Integration of vector-valued functions with respect to an operator-valued measure." Czechoslovak Mathematical Journal 36.2 (1986): 198-209. <http://eudml.org/doc/13574>.

@article{Roy1986,
author = {Roy, Sunil Kumar, Chakraborty, N. D.},
journal = {Czechoslovak Mathematical Journal},
language = {eng},
number = {2},
pages = {198-209},
publisher = {Institute of Mathematics, Academy of Sciences of the Czech Republic},
title = {Integration of vector-valued functions with respect to an operator-valued measure},
url = {http://eudml.org/doc/13574},
volume = {36},
year = {1986},
}

TY - JOUR
AU - Roy, Sunil Kumar
AU - Chakraborty, N. D.
TI - Integration of vector-valued functions with respect to an operator-valued measure
JO - Czechoslovak Mathematical Journal
PY - 1986
PB - Institute of Mathematics, Academy of Sciences of the Czech Republic
VL - 36
IS - 2
SP - 198
EP - 209
LA - eng
UR - http://eudml.org/doc/13574
ER -

References

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  2. J. K. Brooks, P. W. Lewis, 10.1090/S0002-9947-1974-0338821-5, Trans. Amer. Math. Soc. 192 (1974), 139-162. (192) MR0338821DOI10.1090/S0002-9947-1974-0338821-5
  3. С. Debieve, Integration of vector valued functions with respect to vector valued measures, Rev. Roum. Math. Pures Appl. 26, 7 (1981), 943-957. (1981) Zbl0463.46038MR0627463
  4. N. Dinculeanu, Vector Measures, VEB Deutscher Verlag Der Wissenschaften, Berlin, 1967. (1967) MR0206190
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  7. N. Dunford, J. Schwartz, Linear Operators, Part I, Interscience Publishers, INC, New York, 1958. (1958) Zbl0084.10402MR0117523
  8. R. E. Edwards, Functional Analysis, Holt, Rinehart and Winston, New York, 1965. (1965) Zbl0182.16101MR0221256
  9. G. G. Gould, 10.1112/plms/s3-15.1.193, Proc. Lond. Math. Soc., 15 (1965), 193 - 225. (1965) MR0174694DOI10.1112/plms/s3-15.1.193
  10. J. Horvath, Topological Vector Spaces and Distributions, Vol. I, Addison-Wesley Publishing Company, Massachusetts, 1966. (1966) Zbl0143.15101MR0205028
  11. A. De. Korvin, L. Kunes, 10.1093/qmath/24.1.289, Quart. J. Math. (Oxford), 24, 95 (1973), 289-299. (1973) Zbl0262.28008MR0360988DOI10.1093/qmath/24.1.289
  12. D. R. Lewis, 10.2140/pjm.1970.33.157, Pacific J. Math. 33 (1970), 157-165. (1970) Zbl0195.14303MR0259064DOI10.2140/pjm.1970.33.157
  13. D. R. Lewis, 10.1215/ijm/1256052286, Illinois J. Math. 16 (1972), 294-307. (1972) Zbl0242.28008MR0291409DOI10.1215/ijm/1256052286
  14. H. H. Schaefer, Topological Vector Spaces., The Macmillan Company, New York, 1966. (1966) Zbl0141.30503MR0193469
  15. С. Swartz, Integrability for the Dobrakov integral, Czech. Math. J. 30, 105 (1980), 640-646. (1980) Zbl0506.28005MR0592327

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