Weakly Compact Operators and the Dunford-Pettis Property on Uniform Spaces

José Aguayo-Garrido

Annales mathématiques Blaise Pascal (1998)

  • Volume: 5, Issue: 2, page 1-6
  • ISSN: 1259-1734

How to cite

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Aguayo-Garrido, José. "Weakly Compact Operators and the Dunford-Pettis Property on Uniform Spaces." Annales mathématiques Blaise Pascal 5.2 (1998): 1-6. <http://eudml.org/doc/79199>.

@article{Aguayo1998,
author = {Aguayo-Garrido, José},
journal = {Annales mathématiques Blaise Pascal},
keywords = {Hausdorff uniform space; space of all bounded continuous real-valued functions; uniformly continuous functions; finest locally convex topology agreeing with the pointwise topology on each uniformly equicontinuous and bounded subset; strict Dunford-Pettis property},
language = {eng},
number = {2},
pages = {1-6},
publisher = {Laboratoires de Mathématiques Pures et Appliquées de l'Université Blaise Pascal},
title = {Weakly Compact Operators and the Dunford-Pettis Property on Uniform Spaces},
url = {http://eudml.org/doc/79199},
volume = {5},
year = {1998},
}

TY - JOUR
AU - Aguayo-Garrido, José
TI - Weakly Compact Operators and the Dunford-Pettis Property on Uniform Spaces
JO - Annales mathématiques Blaise Pascal
PY - 1998
PB - Laboratoires de Mathématiques Pures et Appliquées de l'Université Blaise Pascal
VL - 5
IS - 2
SP - 1
EP - 6
LA - eng
KW - Hausdorff uniform space; space of all bounded continuous real-valued functions; uniformly continuous functions; finest locally convex topology agreeing with the pointwise topology on each uniformly equicontinuous and bounded subset; strict Dunford-Pettis property
UR - http://eudml.org/doc/79199
ER -

References

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  1. [1] J.B. Cooper and W. Schachermayer, Uniform measures and cosaks spaces, Springer Verlarg, Lectures Notes843 (1981), 217-246. Zbl0462.46014MR610832
  2. [2] M.Z. Frolik, Measures uniformes, C. R. Acad. Sci., Paris, 277 (1973),105-108. Zbl0285.46040MR323984
  3. [3] S.S. Khurana, Dunford-Pettis Property, J. Math. Anal. Appl., 65 (1978), 361-364. Zbl0339.46002MR506313
  4. [4] J. Pachl, Measures as functional of uniformly continuous functions, Pacific J. Math., 82 (1979), 515-521. Zbl0419.28006MR551709
  5. [5] H.H. Schaefer, Banach Lattices and Positives Operators, Springer-Verlag, Berlin, HeidelbergNew York, 1974. Zbl0296.47023MR423039
  6. [6] F., Sentilles, Bounded Continuous Functions on a Completely Regular Spaces, Trans. Amer. Math. Soc., V. 168(1972). Zbl0244.46027MR295065
  7. [7] V.S. Varadarajan, Measures on topological spaces, Amer. Math. Soc. Transl., (2) 48(1965), 161-220 Zbl0152.04202MR148838

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