Geodesic
On the Mazur-Orlicz theorem
Czechoslovak Mathematical Journal, Tome 41 (1991) no. 1, pp. 104-109
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DOI : 10.21136/CMJ.1991.102439
Classification : 46G99, 47H99 
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Neumann, Michael M. On the Mazur-Orlicz theorem. Czechoslovak Mathematical Journal, Tome 41 (1991) no. 1, pp. 104-109. doi: 10.21136/CMJ.1991.102439

[1] Fuchssteiner B., König H.: New versions of the Hahn-Banach theorem. In: General Inequalities 2, E. F. Beckenbach (ed.). ISNM 47, pp. 255-266. Basel. Birkhäuser Verlag 1980. | MR

[2] Fuchssteiner B., Lusky W.: Convex Cones. North-Holland Math. Studies Vol. 56. Amsterdam-New York-Oxford. North-Holland Publishing Company 1981. | MR | Zbl

[3] Jameson G.: Ordered Linear Spaces. Springer Lecture Notes in Math. Vol. 141. Berlin-Heidelberg-New York. Springer 1970. | MR | Zbl

[4] Kaufman R.: Interpolation of additive functionals. Studia Math. 27, 269-272 (1966). | DOI | MR | Zbl

[5] Kindler J.: A Mazur-Orlicz type theorem for submodular set functions. J. Math. Anal. Appl. 120, 533-546(1986). | DOI | MR | Zbl

[6] König H.: Über das von Neumannsche Minimax-Theorem. Arch. Math. 19, 482-487 (1968). | DOI | MR

[7] König H.: On certain applications of the Hahn-Banach and minimax theorems. Arch. Math. 21, 583-591 (1970). | DOI | MR

[8] König H., Neumann M. M.: Mathematische Wirtschaftstheorie. Math. Systems in Economics Vol. 100. Königstein/Taunus. Hain Verlag bei Athenäum 1986. | MR

[9] Kranz P.: Additive functionals on abelian semigroups. Ann. Soc. Math. Pol. 16, 239-246 (1972). | MR | Zbl

[10] Martellotti A., Salvadori A.: A minimax theorem for functions taking values in a Riesz space. J. Math. Anal. Appl. 133, 1-13 (1988). | DOI | MR | Zbl

[11] Mazur S., Orlicz W.: Sur les espaces métriques linéaires II. Studia Math. 13, 137-179 (1953). | DOI | MR | Zbl

[12] Oettli W.: On a general formulation of the Hahn-Banach principle with application to optimization theory. In: Optimization - Theory and Algorithms, J. B. Hiriart-Urruty, W. Oettli, and J. Stoer (eds.), pp. 91-101. New York-Basel. Marcel Dekker 1983. | MR | Zbl

[13] Peressini A. L.: Ordered Topological Vector Spaces. New York-Evanston-London. Harper, and Row 1967. | MR | Zbl

[14] Pták V.: On a theorem of Mazur and Orlicz. Studia Math. 15, 365-366 (1956). | DOI | MR

[15] Sikorski R.: On a theorem of Mazur and Orlicz. Studia Math. 13, 180-182 (1953). | DOI | MR | Zbl

[16] Simons S.: Extended and sandwich versions of the Hahn-Banach theorem. J. Math. Anal. Appl. 21, 112-122 (1968). | DOI | MR | Zbl

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