On integration in Banach spaces, IV

Ivan Dobrakov

Czechoslovak Mathematical Journal (1980)

  • Volume: 30, Issue: 2, page 259-279
  • ISSN: 0011-4642

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Dobrakov, Ivan. "On integration in Banach spaces, IV." Czechoslovak Mathematical Journal 30.2 (1980): 259-279. <http://eudml.org/doc/13196>.

@article{Dobrakov1980,
author = {Dobrakov, Ivan},
journal = {Czechoslovak Mathematical Journal},
keywords = {integration of Banach space-valued functions; vector-valued measures; diagonal convergence theorem; extended Lebesgue convergence theorem; integrals of unconditionally convergent series of functions and measures; double integrals},
language = {eng},
number = {2},
pages = {259-279},
publisher = {Institute of Mathematics, Academy of Sciences of the Czech Republic},
title = {On integration in Banach spaces, IV},
url = {http://eudml.org/doc/13196},
volume = {30},
year = {1980},
}

TY - JOUR
AU - Dobrakov, Ivan
TI - On integration in Banach spaces, IV
JO - Czechoslovak Mathematical Journal
PY - 1980
PB - Institute of Mathematics, Academy of Sciences of the Czech Republic
VL - 30
IS - 2
SP - 259
EP - 279
LA - eng
KW - integration of Banach space-valued functions; vector-valued measures; diagonal convergence theorem; extended Lebesgue convergence theorem; integrals of unconditionally convergent series of functions and measures; double integrals
UR - http://eudml.org/doc/13196
ER -

References

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  1. Aleksjuk V. N., On weak compactness of a set of quasimeasures. On connection between metrics and measure, (Russian), Sibirskij Mat. J. 11 (1970), 723-738. (1970) MR0269794
  2. Bessaga C., Pelczyński A., On bases and unconditional convergence of series in Banach spaces, Studia Math. 17 (1958), 151-164. (1958) MR0115069
  3. Brooks J. K., Jewett R. S., 10.1073/pnas.67.3.1294, Proc. Nat. Acad. Sci. USA 67 (1970), 1294-1298. (1970) Zbl0216.09602MR0269802DOI10.1073/pnas.67.3.1294
  4. Day M. M., Normed linear spaces, Springer-Verlag, Berlin-Göttingen-Heidelberg, 1958. (1958) Zbl0082.10603MR0094675
  5. Dobrakov I., On integration in Banach spaces, I, Czech. Math. J. 20 (95) (1970), 511-536. (1970) Zbl0215.20103MR0365138
  6. Dobrakov I., On integration in Banach spaces, II, Czech. Math. J. 20 (95) (1970), 680-695. (1970) Zbl0224.46050MR0365139
  7. Dobrakov I., On integration in Banach spaces, III, Czech. Math. J. 29 (104) (1979), 478 - 499. (1979) Zbl0429.28011MR0536071
  8. Dobrakov I., On representation of linear operators on C 0 ( T , X ) , Czech. Math. J. 21 (96) (1971), 13-30. (1971) MR0276804
  9. Dobrakov I., On submeasures, I, Dissertationes Mathematicae 112, Warszawa 1974, 1-40. (1974) Zbl0292.28001MR0367140
  10. Dobrakov I., Farková J., On submeasures, II, Math. Slovaca 30 (1980), 65 - 81. (1980) MR0568216
  11. Dunford N., Schwartz J. T., Linear operators, Part I, Interscience, New York, 1958. (1958) 
  12. Gould G. G., Integration over vector-valued measures, Proc. London Math. Soc. (3) 15 (1965), 193-225. (1965) Zbl0138.38403MR0174694
  13. Halmos P. R., Measure theory, D. Van Nostrand, New York, 1950. (1950) Zbl0040.16802MR0033869
  14. Kelley J. L., Srinivasan T. P., On the Bochner integral. Vector and operator valued measures and applications, Edited by Don H. Tucker and Hugh B. Maynard, Academic Press, Inc., New York, 1973, 165-174. (1973) MR0330408
  15. Klimkin V. M., Some questions of theory of vector-valued measures, (Russian) Izvestija Vyšš. Učeb. Zav. Matematika, 7 (158), (1975), 54-63, (1975) MR0404577
  16. Semadeni Z., Banach spaces of continuous functions, Vol. I, Monografie Mat. Tom 55, PWN Warszawa, 1971. (1971) Zbl0225.46030MR0296671

Citations in EuDML Documents

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  1. N.U. Ahmed, Vector and operator valued measures as controls for infinite dimensional systems: optimal control
  2. N.U. Ahmed, Weak compactness in the space of operator valued measures M b a ( Σ , ( X , Y ) ) and its applications
  3. Ivan Dobrakov, On integration in Banach spaces, V
  4. Maria E. Ballvé, Pedro Jiménez Guerra, Fubini theorems for bornological measures
  5. Ján Haluška, On integration in complete bornological locally convex spaces
  6. Ivan Dobrakov, Pedro Morales, On integration in Banach spaces, VI
  7. Ivan Dobrakov, On integration in Banach spaces, VII
  8. Ivan Dobrakov, On integration in Banach spaces. X: Integration with respect to polymeasures
  9. Ivan Dobrakov, On integration in Banach spaces, IX. Integration with respect to polymeasures
  10. Ivan Dobrakov, On integration in Banach spaces, VIII. Polymeasures

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