An abstract uniform boundedness result

Charles W. Swartz

Mathematica Slovaca (1999)

  • Volume: 49, Issue: 1, page 63-69
  • ISSN: 0232-0525

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Swartz, Charles W.. "An abstract uniform boundedness result." Mathematica Slovaca 49.1 (1999): 63-69. <http://eudml.org/doc/34486>.

@article{Swartz1999,
author = {Swartz, Charles W.},
journal = {Mathematica Slovaca},
keywords = {uniform boundedness; Banach-Mackey space; Pettis integrable functions; projection operators; barrelled},
language = {eng},
number = {1},
pages = {63-69},
publisher = {Mathematical Institute of the Slovak Academy of Sciences},
title = {An abstract uniform boundedness result},
url = {http://eudml.org/doc/34486},
volume = {49},
year = {1999},
}

TY - JOUR
AU - Swartz, Charles W.
TI - An abstract uniform boundedness result
JO - Mathematica Slovaca
PY - 1999
PB - Mathematical Institute of the Slovak Academy of Sciences
VL - 49
IS - 1
SP - 63
EP - 69
LA - eng
KW - uniform boundedness; Banach-Mackey space; Pettis integrable functions; projection operators; barrelled
UR - http://eudml.org/doc/34486
ER -

References

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  1. ANTOSIK P.-SWARTZ C., Matrix Methods in Analysis, Springer-Verlag, Heidelberg, 1985. (1985) Zbl0564.46001MR0781343
  2. DIESTEL J.-UHL J., Vector Measures, Amer. Math. Soc, Providence, RI, 1977. (1977) Zbl0369.46039MR0453964
  3. DREWNOWSKI L., Equivalence of Brooks-Jewett, Vitali-Hahn-Saks and Nikodym Theorems, Bull. Acad. Polon. Sci. Sér. Sci. Tech. 20 (1972), 725-731. (1972) Zbl0243.28011MR0311869
  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. HILLE E.-PHILLIPS R., Functional Analysis and Semigroups, Amer. Math. Soc, Providence, RI, 1957. (1957) Zbl0078.10004MR0089373
  8. LEE PENG YEE, SWARTZ C., Continuity of superposition operators on sequence spaces, New Zealand J. Math. 24 (1995), 41-52. (1995) Zbl0840.46001MR1348052
  9. PETTIS B. J., Integration in vector spaces, Trans. Amer. Math Soc 44 (1938), 277-304. (1938) Zbl0019.41603MR1501970
  10. RAO K. P. S. B.-RAO M. B., Theory of Charges, Academic Press, New York, 1983. (1983) Zbl0516.28001MR0751777
  11. WILANSKY A., Modern Methods in Topological Vector Spaces, McGraw-Hill, New York, 1978. (1978) Zbl0395.46001MR0518316

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