Some Properties of the Bornological Spaces

Manuel Valdivia

Publications du Département de mathématiques (Lyon) (1973)

  • Volume: 10, Issue: 4, page 51-56
  • ISSN: 0076-1656

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Valdivia, Manuel. "Some Properties of the Bornological Spaces." Publications du Département de mathématiques (Lyon) 10.4 (1973): 51-56. <http://eudml.org/doc/273376>.

@article{Valdivia1973,
author = {Valdivia, Manuel},
journal = {Publications du Département de mathématiques (Lyon)},
language = {eng},
number = {4},
pages = {51-56},
publisher = {Université Claude Bernard - Lyon 1},
title = {Some Properties of the Bornological Spaces},
url = {http://eudml.org/doc/273376},
volume = {10},
year = {1973},
}

TY - JOUR
AU - Valdivia, Manuel
TI - Some Properties of the Bornological Spaces
JO - Publications du Département de mathématiques (Lyon)
PY - 1973
PB - Université Claude Bernard - Lyon 1
VL - 10
IS - 4
SP - 51
EP - 56
LA - eng
UR - http://eudml.org/doc/273376
ER -

References

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  1. 1. Bourbaki, N. : Eléments de Mathématiques, Livre V : Espaces vectoriels topologiques (ch. III. ch.IV, ch. V), Paris (1964). Zbl0066.35301
  2. 2. Valdivia, M. : A class of bornological barrelled spaces which are not ultrabornological, Math. Ann.194, 43-51 (1971). Zbl0207.42701MR313753
  3. 3. Valdivia, M. : Some examples on quasi-barrelled spaces, Ann. Inst. Fourier22, 2, 21-26 (1972). Zbl0226.46005MR336277
  4. 4. Dieudonné, J. : Sur les propriétés de permanence de certains espaces vectoriels topologiques. Ann. Soc. Polon. Math.25, 50-55 (1952). Zbl0049.08202MR56189
  5. 5. Amemiya, I. and Komura, Y. : Über nich-vollständige Montelräume. Math. Ann.177273-277 (1968). Zbl0157.43903MR232182
  6. 6. Horváth, J. : Topological Vector Spaces and Distributions I. Addison-Wesley. Massachusets1966. Zbl0143.15101
  7. 7. Markushevich, A.I. : Sur les bases (au sens-large) dans les espaces linéaires. Doklady Akad. Nauk SSSR (N.S), 41, 227-229 (1934). Zbl0061.24701MR10778
  8. 8. Marti, J.T. : Introduction to the Theory of Bases. Springer-Verlag, Berlin-Heidelberg-New York, 1969. Zbl0191.41301MR438075
  9. 9. Kothe, G. : Topological Vector Spaces I, Springer-Verlag, Berlin-Heidelberg-New York, 1969. Zbl0179.17001MR248498
  10. 10. Valdivia, M. : Some characterizations of ultrabornological spaces (To be published). Zbl0287.46001

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