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

How to cite

top

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

top
  1. R. G. Bartle N. Dunford, J. Schwartz, 10.4153/CJM-1955-032-1, Canad. J. Math. 7 (1955), 289-305. (1955) Zbl0068.09301MR0070050DOI10.4153/CJM-1955-032-1
  2. J. K. Brooks, P. W. Lewis, 10.1090/S0002-9947-1974-0338821-5, Trans. Amer. Math. Soc. 192 (1974), 139-162. (192) Zbl0331.46035MR0338821DOI10.1090/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) Zbl0156.14902MR0206190
  5. I. Dobrakov, On integration in Banach spaces I, Czech Math. J., 20, 95 (1970), 511 - 536. (1970) Zbl0215.20103MR0365138
  6. I. Dobrakov, On representation of linear Operators on C 0 ( T , X ) , Czech. Math. J. 27, 96 (1971), 13-30. (1971) Zbl0225.47018MR0276804
  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) Zbl0138.38403MR0174694DOI10.1112/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, On integrability and summability in vector spaces, Illinois J. Math. 16 (1972), 294-307. (1972) Zbl0242.28008MR0291409
  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

NotesEmbed ?

top

You must be logged in to post comments.

To embed these notes on your page include the following JavaScript code on your page where you want the notes to appear.

Only the controls for the widget will be shown in your chosen language. Notes will be shown in their authored language.

Tells the widget how many notes to show per page. You can cycle through additional notes using the next and previous controls.

    
                

Note: Best practice suggests putting the JavaScript code just before the closing </body> tag.