Sur un problème de S. Simons concernant les bornés des espaces vectoriels topologiques

Philippe Turpin

Mémoires de la Société Mathématique de France (1972)

  • Volume: 31-32, page 381-387
  • ISSN: 0249-633X

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Turpin, Philippe. "Sur un problème de S. Simons concernant les bornés des espaces vectoriels topologiques." Mémoires de la Société Mathématique de France 31-32 (1972): 381-387. <http://eudml.org/doc/94636>.

@article{Turpin1972,
author = {Turpin, Philippe},
journal = {Mémoires de la Société Mathématique de France},
language = {fre},
pages = {381-387},
publisher = {Société mathématique de France},
title = {Sur un problème de S. Simons concernant les bornés des espaces vectoriels topologiques},
url = {http://eudml.org/doc/94636},
volume = {31-32},
year = {1972},
}

TY - JOUR
AU - Turpin, Philippe
TI - Sur un problème de S. Simons concernant les bornés des espaces vectoriels topologiques
JO - Mémoires de la Société Mathématique de France
PY - 1972
PB - Société mathématique de France
VL - 31-32
SP - 381
EP - 387
LA - fre
UR - http://eudml.org/doc/94636
ER -

References

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  1. [1] B.A. Barnes and A.K. Roy, Boundedness in certain topological linear spaces, Studia Math. 33 (1969), 147-156. Zbl0177.40503MR40 #670
  2. [2] C. Bessaga, A. Pelczynski and S. Rolewicz, Somme properties of the norm in F-spaces, Studia Math. 16 (1957), 183-192. Zbl0080.31301MR20 #6021
  3. [3] B. Gramsch, Die Klasse metrischer linearer Räume £Ф, Math. Annalen 171 (1967), 61-78. Zbl0148.11602MR35 #715
  4. [4] S.O. Iyahen, On certain classes of linear topological spaces, Proc. London Math. Soc. 18 (1968), 285-307. Zbl0165.14203MR37 #1948
  5. [5] S.O. Iyahen, Semiconvex spaces, Glasgow Math. J. 9 (1968), 111-118. Zbl0184.34003MR39 #747
  6. [6] M. Landsberg, Lineare topologische Räume, die nicht lokalkonvex sind, Math. Zeitschr. 65 (1956), 104-112. Zbl0070.11301MR17,1225c
  7. [7] J.P. Ligaud, Sur les rapports entre topologies et bornologies pseudo-convexes, C.R. Acad. Sc. Paris 271 (1970) 1058-1060. Zbl0202.39403MR42 #8234
  8. [8] W. Matuszewska and W. Orlicz, A note on the theory of s-normed spaces of Ф-integrable functions, Studia Math. 21 (1961), 107-115. Zbl0202.39903MR26 #6750
  9. [9] S. Mazur et W. Orlicz, Sur les espaces métriques linéaires I, Studia Math. 10 (1948) 184-208. Zbl0036.07801MR10,611a
  10. [10] D. Przeworska-Rolewcz and S. Rolewicz, Equations in linear spaces, Monografie Matematyczne, Varsovie, 1958, p. 141. 
  11. [11] S. Rolewicz, Some remarks on the spaces N(L) and N(l), Studia Math. 18 (1959), 1-9. Zbl0085.32301MR21 #2183
  12. [12] S. Simons, Boundedness in linear topological spaces, Trans. Amer. Math. Soc. 113 (1964), 169-180. Zbl0133.06404MR29 #3863
  13. [13] L. Waelbroeck, Topological vector spaces and algebras, Lecture Notes in Mathematics, Springer, Berlin, à paraître. Zbl0225.46001

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