Deux types nouveaux d'extension de formes linéaires positives et continues

Toufic Hindi

Publications du Département de mathématiques (Lyon) (1978)

  • Volume: 15, Issue: 1, page 51-81
  • ISSN: 0076-1656

How to cite

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Hindi, Toufic. "Deux types nouveaux d'extension de formes linéaires positives et continues." Publications du Département de mathématiques (Lyon) 15.1 (1978): 51-81. <http://eudml.org/doc/274285>.

@article{Hindi1978,
author = {Hindi, Toufic},
journal = {Publications du Département de mathématiques (Lyon)},
keywords = {extension of positive linear functionals; ordered Banach spaces; dominated extension; uniform extension; minimal extension},
language = {fre},
number = {1},
pages = {51-81},
publisher = {Université Claude Bernard - Lyon 1},
title = {Deux types nouveaux d'extension de formes linéaires positives et continues},
url = {http://eudml.org/doc/274285},
volume = {15},
year = {1978},
}

TY - JOUR
AU - Hindi, Toufic
TI - Deux types nouveaux d'extension de formes linéaires positives et continues
JO - Publications du Département de mathématiques (Lyon)
PY - 1978
PB - Université Claude Bernard - Lyon 1
VL - 15
IS - 1
SP - 51
EP - 81
LA - fre
KW - extension of positive linear functionals; ordered Banach spaces; dominated extension; uniform extension; minimal extension
UR - http://eudml.org/doc/274285
ER -

References

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  1. [1] E. Affsen : Compact convex sets and boundary. Springer, Verlag- 1971. 
  2. [2] T. Andô : On fundamental properties of a Banach space with a cone. Pacific J. Math.12, 1962, p. 1163-1169. Zbl0123.30802MR150572
  3. [3] L. Asimow : Partially ordered Banach spaces and their duals. Notes multigraphiees. 
  4. [4] L. Asimow : Directed Banach spaces of affine functions. Trans. Amer. Math. Soc.143, 1969, p. 117-132. Zbl0189.42804MR247419
  5. [5] N. Bourbaki : Espaces vectoriels topologiques. Livre V, chapitres 1, 2, 3, 4. MR42609
  6. [6] N. Bourbaki : Intégration. Livre VI, chapitres 1, 2, 3, 4. 
  7. [7] G. Choquet : Le caractère faiblement complet des cones à chapeau universel. Bull. Soc. Math, 2ème série, 94, 1970, p. 281-288. Zbl0207.12202MR275102
  8. [8] E.B. Davies : The structure and ideal theory of the predual of a Banach lattice. Amer. Math. Soc. Trans., 131, 1968, p. 544-555. Zbl0159.41503MR222604
  9. [9] E. Effros : Structure in simplexes. Acta Math.117, 1967, p. 103-121. Zbl0154.14201MR203435
  10. [10] H. Fakhoury : Extensions uniformes de formes linéaires positives. Ann. Inst. Fourier, vol 231973, p. 75-94 Zbl0243.46025MR333655
  11. [11] H. Fakhoury : Espaces fortement réticulés de fonctions affines. Thèse de 3ème cycle, Université de ParisVI. Zbl0214.12801
  12. [12] M. Rogalski : Espaces de Banach ordonnés, simplexes, frontières de Silov et problème de Dirichlet, Sémianire d'Initiation à l'Analyse, t.5 (1965/1966), n° 12. Zbl0164.43402

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