Positive functionals and the axiom of choice

Norbert Brunner

Rendiconti del Seminario Matematico della Università di Padova (1984)

  • Volume: 72, page 9-12
  • ISSN: 0041-8994

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Brunner, Norbert. "Positive functionals and the axiom of choice." Rendiconti del Seminario Matematico della Università di Padova 72 (1984): 9-12. <http://eudml.org/doc/107970>.

@article{Brunner1984,
author = {Brunner, Norbert},
journal = {Rendiconti del Seminario Matematico della Università di Padova},
keywords = {countable multiple choice axiom; every positive linear functional on a Banach lattice is continuous},
language = {eng},
pages = {9-12},
publisher = {Seminario Matematico of the University of Padua},
title = {Positive functionals and the axiom of choice},
url = {http://eudml.org/doc/107970},
volume = {72},
year = {1984},
}

TY - JOUR
AU - Brunner, Norbert
TI - Positive functionals and the axiom of choice
JO - Rendiconti del Seminario Matematico della Università di Padova
PY - 1984
PB - Seminario Matematico of the University of Padua
VL - 72
SP - 9
EP - 12
LA - eng
KW - countable multiple choice axiom; every positive linear functional on a Banach lattice is continuous
UR - http://eudml.org/doc/107970
ER -

References

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  1. [1] J.L. Bell - D. H. FREMLIN, A geometric form of the axiom of choice, Fundamenta Mathematicae, 77 (1972), pp. 167-170. Zbl0244.46014MR327523
  2. [2] N. Brunner, Sequential compactness and the axiom of choice, Notre Dame Journal of Formal Logic, 24 (1983, 89-92). Zbl0464.03045MR675919
  3. [3] N. Brunner, Kategoriesätze und multiple Auswahl, Zeitschrift für mathematische Logik und Grundlagen der Mathematik, 29 (1983), 435-443. Zbl0526.03031MR716858
  4. [4] M.M. Day: Normed Linear Spaces, Ergebnisse der Mathematik 21, Springer-Verlag, Berlin, 1973. Zbl0268.46013MR344849
  5. [5] I. Namioka, Partially ordered linear topological vector spaces, Memoirs of the American Mathematical Society, No. 24, Providence, 1957. Zbl0105.08901MR94681
  6. [6] H.H. Schaefer, Halbgeordnete lokalkonvexe Vektorräume, Mathematische Annalen, 138 (1959), pp. 259-286. Zbl0092.11303MR106402
  7. [7] Y.-C. Wong - K.-F. Ng, Partially ordered topotogical vector spaces, Oxford Mathematical Monographs, Oxford University Press, Oxford, 1973. Zbl0269.46007MR454581

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