Completeness and sequential completeness in certain spaces of measures

Surjit Singh Khurana; Sadoon Ibrahim Othman

Mathematica Slovaca (1995)

  • Volume: 45, Issue: 2, page 163-170
  • ISSN: 0232-0525

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Khurana, Surjit Singh, and Othman, Sadoon Ibrahim. "Completeness and sequential completeness in certain spaces of measures." Mathematica Slovaca 45.2 (1995): 163-170. <http://eudml.org/doc/34411>.

@article{Khurana1995,
author = {Khurana, Surjit Singh, Othman, Sadoon Ibrahim},
journal = {Mathematica Slovaca},
keywords = {completely regular Hausdorff space; strict topologies; sequentially complete; meta-compact; Mackey topology},
language = {eng},
number = {2},
pages = {163-170},
publisher = {Mathematical Institute of the Slovak Academy of Sciences},
title = {Completeness and sequential completeness in certain spaces of measures},
url = {http://eudml.org/doc/34411},
volume = {45},
year = {1995},
}

TY - JOUR
AU - Khurana, Surjit Singh
AU - Othman, Sadoon Ibrahim
TI - Completeness and sequential completeness in certain spaces of measures
JO - Mathematica Slovaca
PY - 1995
PB - Mathematical Institute of the Slovak Academy of Sciences
VL - 45
IS - 2
SP - 163
EP - 170
LA - eng
KW - completely regular Hausdorff space; strict topologies; sequentially complete; meta-compact; Mackey topology
UR - http://eudml.org/doc/34411
ER -

References

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  1. BERRUYER, IVOL B., L'espace M(T), Comptes Rendus 275 (1972), 33-36. (1972) Zbl0244.46030
  2. FONTENOT R. A., Strict topologies for vector-valued functions, Canad. J. Math. 26 (1974), 841-853. (1974) Zbl0259.46037MR0348463
  3. KATSARAS A. K., Spaces of vector measures, Trans. Amer. Math. Soc. 206 (1975), 313-328. (1975) Zbl0275.46029MR0365111
  4. KATSARAS A. K., Locally convex topologies on spaces of continuous vector functions, Math. Nachr. 71 (1976), 211-226. (1976) Zbl0281.46032MR0458143
  5. KHURANA S. S., Topologies on spaces of continuous vector-valued functions, Trans. Amer. Math. Soc. 241 (1978), 195-211. (1978) MR0492297
  6. KHURANA S. S., Topologies on spaces of continuous vector-valued functions II, Math. Ann. 234 (1978), 159-166. (1978) MR0494178
  7. KHURANA S. S., OTHMAN S., Convex compact property in certain spaces of measures, Math. Ann. 279 (1987), 345-348. (1987) MR0919510
  8. KHURANA S. S., OTHMAN S., Grothendieck measures, J. London Math. Soc. (2) 39 (1989), 481-486. (1989) Zbl0681.46030MR1002460
  9. KIRK R. B., Complete topologies on spaces of Baire measures, Trans. Amer. Math. Soc. 184 (1973), 1-29. (1973) MR0325913
  10. MORAN W., Measures on metacompact spaces, Proc. London Math. Soc. (3) 20 (1970), 507-524. (1970) Zbl0199.37802MR0437706
  11. SCHAEFFER H. H., Topological Vector Spaces, Springer Verlag, New York, 1986. (1986) 
  12. SENTILLES F. D., Bounded continuous functions on completely regular spaces, Trans. Amer. Math. Soc. 168 (1972), 311-336. (1972) MR0295065
  13. WHEELER R. F., Survey of Baire measures and strict topologies, Exposition Math. 2 (1983), 97-190. (1983) Zbl0522.28009MR0710569
  14. VARADARAJAN V. S., Measures on topological spaces, In: Amer. Math. Soc. Transl. Ser. 2, 48, 1965, pp. 161-220. (1965) 

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