Title:
|
The Hahn-Banach property and equivalent conditions (English) |
Author:
|
Nehse, Reinhard |
Language:
|
English |
Journal:
|
Commentationes Mathematicae Universitatis Carolinae |
ISSN:
|
0010-2628 (print) |
ISSN:
|
1213-7243 (online) |
Volume:
|
19 |
Issue:
|
1 |
Year:
|
1978 |
Pages:
|
165-177 |
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Category:
|
math |
. |
MSC:
|
46A20 |
MSC:
|
46A40 |
idZBL:
|
Zbl 0373.46011 |
idMR:
|
MR492379 |
. |
Date available:
|
2008-06-05T20:57:44Z |
Last updated:
|
2012-04-28 |
Stable URL:
|
http://hdl.handle.net/10338.dmlcz/105843 |
. |
Reference:
|
[1] BAIR J., FOURNEAU R.: Etude Géométrique des Espaces Vectoriels.Lecture Notes in Mathematics 489, Springer-Verlag, Berlin - Heidelberg - New York 1975. Zbl 0334.50001, MR 0493253 |
Reference:
|
[2] DAY M. M.: Normed Linear Spaces.Ergebnisse der Math., Bd. 21, Springer-Verlag, Berlin - Heidelberg - New York 1973, third edition. Zbl 0268.46013, MR 0344849 |
Reference:
|
[3] ELSTER K.-H., NEHSE R.: Konjugierte Operatoren und Subdifferentiale.Mathematische Operationsforsch. und Statist. 6 (1975), 641-657. Zbl 0331.90050, MR 0388035 |
Reference:
|
[4] ELSTER K.-H., NEHSE R.: Necessary and sufficient conditions for the order-completeness of partially ordered vector spaces.to appear in Math. Nachr. MR 0493244 |
Reference:
|
[5] ELSTER K.-H., NEHSE R.: Nichtkonvexe Optimierungsprobierne.21. Intern. Wiss. Koll. TH llmenau 1976, Vortragsauszüge Reihe B1., 69-72. |
Reference:
|
[6] FELDMAN M. M.: On sufficient conditions for the existence of supports of sublinear operators.Sibir. Math. J. 16 (1975), 132-138, in Russian. MR 0380344 |
Reference:
|
[7] KÖTHE G.: Topologische lineare Räume I.Springer-Verlag, Berlin - Heidelberg - New York 1966, 2. Aufl. MR 0194863 |
Reference:
|
[8] NEHSE R.: Some general separation theorems.to appear in Math. Nachr. Zbl 0323.46004, MR 0518130 |
Reference:
|
[9] TO T. O.: The equivalence of the least upper bound property and the Hahn-Banach property in ordered linear spaces.Proc. Amer. Math. Soc. 30 (1972), 287-295. |
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