Quelques aspects de la dualité en analyse fonctionnelle

G. Bourdaud

Diagrammes (1981)

  • Volume: 5, page B1-B12
  • ISSN: 0224-3911

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Bourdaud, G.. "Quelques aspects de la dualité en analyse fonctionnelle." Diagrammes 5 (1981): B1-B12. <http://eudml.org/doc/192979>.

@article{Bourdaud1981,
author = {Bourdaud, G.},
journal = {Diagrammes},
keywords = {duality; metric spaces; uniform spaces; convergence spaces; convergence vector spaces; topological algebras; Lipschitz spaces; continuous convergence; reflexive object; Lipschitz mapping; ordered vector space; Kelley algebra},
language = {fre},
pages = {B1-B12},
publisher = {Université Paris 7, Unité d'enseignement et de recherche de mathématiques},
title = {Quelques aspects de la dualité en analyse fonctionnelle},
url = {http://eudml.org/doc/192979},
volume = {5},
year = {1981},
}

TY - JOUR
AU - Bourdaud, G.
TI - Quelques aspects de la dualité en analyse fonctionnelle
JO - Diagrammes
PY - 1981
PB - Université Paris 7, Unité d'enseignement et de recherche de mathématiques
VL - 5
SP - B1
EP - B12
LA - fre
KW - duality; metric spaces; uniform spaces; convergence spaces; convergence vector spaces; topological algebras; Lipschitz spaces; continuous convergence; reflexive object; Lipschitz mapping; ordered vector space; Kelley algebra
UR - http://eudml.org/doc/192979
ER -

References

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  3. (3) BINZ E., Notes on a Characterization of Function Algebras, Math. Ann. 186, 314-326 ( 1970). Zbl0183.42601MR264397
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  5. (5) BIRKHOFF G., Lattice Theory, AMS ( 1948). Zbl0033.10103MR29876
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  8. (8) BOURDAUD G., Some cartesian closed category of convergence spaces, Categorical Topology, Lecture notes N° 540. Zbl0332.54004
  9. (9) BOURDAUD G., Sur le théorème de complétion de Buchwalter-Pupier, Cah. Top. Géom. Diff. XVII, 3 ( 1976). Zbl0336.54028MR428266
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  11. (11) BUCHWALTER H. et PUPIER R., C.R.A.S., t. 273, 96-98 ( 1971). Zbl0214.21301MR286070
  12. (12) BUTZMANN H.P., Über die c-Reflexivität von Cc(x), Comm. Math. Helvet., 47-1, 92-101 ( 1972). Zbl0237.46026MR308651
  13. (13) COOK C.H. et FISCHER H.R., Uniform convergence structures, Math. Ann. 173, 290-306 ( 1967). Zbl0166.18702MR217756
  14. (14) DUBUC E.J. et PORTA H., Convenient Categories of topological Algebras..., J. Pure Appl. Algebra 1, 281-316 ( 1971). Zbl0237.46075MR301079
  15. (15) FRÖLIGHER A. et BUCHER W., Calculus in Vector Spaces without Norm, Lecture notes n° 30. Zbl0156.38303
  16. (16) HOFFMANN R.E., Topological Spaces admitting a "Dual", Categorical Topology, Lecture notes n° 719. Zbl0413.54001
  17. (17) HOGBE-NLEND H., Théorie des Bornologies et applications, Lecture notes n° 213. Zbl0225.46005
  18. (18) PORST H.E., A Survey of the Categorical Treatment of Dualities, Math. Arbeit. n° 18 (Bremen 1979). Zbl0513.18002MR569342
  19. (19) ROBERTSON A. P., Topological Vector Spaces, Cambridge U.P. ( 1966). Zbl0123.30202
  20. (20) SCHRODER M., Continuous Convergence in a Gelfand Theory..., Pub. Univ. Waikato, n° 9, Hamilton, New-Zealand ( 1971). 
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  22. (22) WYLER O., Function Spaces in topological Categories, Categorical Topology, Lecture notes n° 719. Zbl0408.18003

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