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Baire-Likeness of Spaces ℓ(E) and c 0(E)

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Abstract

We characterize the Baire-likeness of spaces c 0(E), ℓ(E). Some additional remarks are included.

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REFERENCES

  1. K. D. Bierstedt, J. Bonet AND J. Schmets, (DF)-spaces of type CB(X, E) and CV(X, E), Note di Mat. 10 (1992), 127–148.

    Google Scholar 

  2. L. Drewnowski, M. Florencio AND P. J. PaÚl, Some new classes of Banach-Mackey spaces, Manusc. Math. 76 (1992), 341–351.

    Google Scholar 

  3. L. Drewnowski, M. Florencio AND P. J. PaÚl, The space of Pettis integrable functions is barrelled Proc. Amer. Math. Soc. 34 (1992), 687–694.

    Google Scholar 

  4. J. C. Ferrando, M. LÓpez Pellicer AND L. M. SÁnchez-Ruiz, Metrizable barrelled spaces, Pitman Research Notes in Math., Longman, 1995.

  5. J. Kakol, Sequential closure conditions and Baire-like spaces Arch. Marh. 60 (1993), 277–282.

    Google Scholar 

  6. J. Kakol, Strongly Lindelöf spaces, Baire-type property and sequential closure conditions for inductive limits of metrizable spaces, Proceedings of the first Inter. Workshop on Funct. Analysis, Trier 1994, Walter de Gruyter, 1996, 227–239.

  7. J. Kakol AND L. M. SÁnchez-Ruiz, A note on Baire and ultrabornological property of spaces C p(X, E), Arch. Math. 67 (1996), 493–499.

    Google Scholar 

  8. J. Mendoza, Necessary and sufficient condition for C(X, E) to be barrelled or infrabarrelled, Simon Stevin 57 (1983), 103–123.

    Google Scholar 

  9. J. Mendoza, A barrelled criteria for c 0(E), Arch. Math. 40 (1983), 156–158.

    Google Scholar 

  10. P. P. Narayanaswami AND S. S. A. Saxon, (LF)-spaces, quasi-Baire spaces and the strongest locally convex topology, Math. Ann. 274 (1986), 627–641.

    Google Scholar 

  11. P. PÉrez Carreras AND J. Bonet, Barrelled locally convex spaces, Math. Studies, North-Holland, Amsterdam, 1987.

    Google Scholar 

  12. A. Pietsch, Nuclear locally convex spaces, Springer-Verlag, Heidelberg-New York, 1972.

    Google Scholar 

  13. S. A. Saxon, Nuclear and product spaces, Baire-like spaces and the strongest locally convex topology, Math. Ann. 197 (1972), 87–106.

    Google Scholar 

  14. S. A. Saxon AND A. R. Todd, A property of locally convex Baire spaces, Math. Ann. 206 (1973), 23–34.

    Google Scholar 

  15. J. Schmets, Spaces of vector-valued continuous functions, Lecture Notes in Math., New York, 1983.

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Kakol, J., Gilsdorf, T. & Ruiz, L.S. Baire-Likeness of Spaces ℓ(E) and c 0(E). Periodica Mathematica Hungarica 40, 31–35 (2000). https://doi.org/10.1023/A:1004835805140

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