Barrelledness of the space of Dobrakov integrable functions

Charles W. Swartz

Mathematica Slovaca (2001)

  • Volume: 51, Issue: 5, page 521-528
  • ISSN: 0139-9918

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Swartz, Charles W.. "Barrelledness of the space of Dobrakov integrable functions." Mathematica Slovaca 51.5 (2001): 521-528. <http://eudml.org/doc/32146>.

@article{Swartz2001,
author = {Swartz, Charles W.},
journal = {Mathematica Slovaca},
keywords = {barrelledness; vector measure; Dobrakov integral},
language = {eng},
number = {5},
pages = {521-528},
publisher = {Mathematical Institute of the Slovak Academy of Sciences},
title = {Barrelledness of the space of Dobrakov integrable functions},
url = {http://eudml.org/doc/32146},
volume = {51},
year = {2001},
}

TY - JOUR
AU - Swartz, Charles W.
TI - Barrelledness of the space of Dobrakov integrable functions
JO - Mathematica Slovaca
PY - 2001
PB - Mathematical Institute of the Slovak Academy of Sciences
VL - 51
IS - 5
SP - 521
EP - 528
LA - eng
KW - barrelledness; vector measure; Dobrakov integral
UR - http://eudml.org/doc/32146
ER -

References

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  1. DIESTEL J.-UHL J., Vector Measures, Amer. Math. Soc, Providence, RI, 1977. (1977) Zbl0369.46039MR0453964
  2. DOBRAKOV I., On integration in Banach spaces I, Czechoslovak Math. J. 20 (1970), 511-536. (1970) Zbl0215.20103MR0365138
  3. DOBRAKOV I., On integration in Banach spaces II, Czechoslovak Math. J. 20 (1970), 680-695. (1970) Zbl0224.46050MR0365139
  4. DREWNOWSKI L.-FLORENCIO M.-PAÚL P., The space of Pettis integrable functions is barrelled, Proc. Amer. Math. Soc. 114 (1994), 687-694. (1994) MR1107271
  5. DREWNOWSKI L.-FLORENCIO M.-PAÚL P., Uniform boundedness of operators and barrelledness in spaces with Boolean algebras of projections, Atti. Sem. Mat. Fis. Univ. Modena 41 (1993), 317-329. (1993) Zbl0849.46002MR1248001
  6. DUNFORD N.-SCHWARTZ, J,, Linear Operators I, Wiley, New York, 1958. (1958) Zbl0084.10402
  7. LEE PENG YEE-SWARTZ, C, Continuity of superposition operators on sequence spaces, New Zealand J. Math. 24 (1995), 41-52. (1995) MR1348052
  8. PETTIS B. J., Integration in vector spaces, Trans. Amer. Math. Soc. 44 (1938), 277-304. (1938) Zbl0019.41603MR1501970
  9. RAO K. P. S.- RAO M., Theory of Charges, Academic Press, New York, 1983. (1983) MR0751777
  10. SWARTZ C., Weak sequential completeness of sequence spaces, Collcct. Math. 43 (1992), 55-61. (1992) Zbl0782.46013MR1214223
  11. SWARTZ C., An abstract uniform boundedness result, Math. Slovaca 49 (1999), 63-69. (1999) MR1804474
  12. SWARTZ C., Infinite Matrices and the Gliding Hump, World Sci. Publ., Singapore, 1996. (1996) Zbl0923.46003MR1423136
  13. THOMAS E., Totally summable functions with values in locally convex spaces, In: Lecture Notеs in Math. 541, Springеr-Vеrlag, Hеidеlbеrg, 1976, pp. 117-131. (1976) Zbl0357.46050MR0450505
  14. WILANSKY A., Modern Methods in Topological Vector Spaces, McGraw-Hill, New York, 1978. (1978) Zbl0395.46001MR0518316

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