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Some questions concerning the approximation of the optimal value of infinite-dimensional problems in linear programming. (English) Zbl 0176.49801


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[1] G. Sh. Rubenshtein, Dual Extremal Problems, Dokl. Akad. Nauk SSSR,152, No. 2, 288–291 (1963).
[2] L. V. Kantorcvich and G. P. Akilov, Functional Analysis in Normalized Spaces [in Russian], Fizmatgiz, Moscow (1959).
[3] G. Sh. Rubinshtein, Investigations on Dual Extremal Problems [in Russian], Doctoral Dissertation, Inst. Matem. SO AN SSSR, Novosibirsk (1965).
[4] K. S. Kretschmer, Programmes in Paired Spaces, Canad. J. Math.,13, No. 2, 221–238 (1961). · Zbl 0097.14705
[5] S. Karlin, The Theory of infinite Games, Ann. Math.,58, No. 2, 371–401 (1953). · Zbl 0051.10703
[6] L. V. Kantorovich and G. Sh. Rubinshtein, Concerning a Functional Space and Some Extremum Problems, Dokl. Akad. Nauk SSSR,115, No. 6, 1058–1061 (1957). · Zbl 0081.11501
[7] N. Bourbaki, Topological Vector Spaces [Russian translation], IL, Moscow (1959).
[8] K. Fan, Generalization of the Alaoglu-Beurbaki Theorem, Math. Zeitschr.,88, No. 1, 48–60 (1965). · Zbl 0135.34402
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[10] A. Wald, Statistical Decision Functions, Wiley, New York (1950). · Zbl 0040.36402
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