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Fan, K.

A generalization of the Alaoglu-Bourbaki theorem and its applications. (English) Zbl 0135.34402

Math. Z. 88, 48-60 (1965).
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Cited in 20 Documents

Keywords:

functional analysis
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\textit{K. Fan}, Math. Z. 88, 48--60 (1965; Zbl 0135.34402)
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References:

[1] Bellman, R., andK. Fan: On systems of linear inequalities in Hermitian matrix variables. Proceedings of symposia in pure mathematics, Vol. 7, Convexity, p. 1-11 (edited byV. L. Klee). Providence: Amer. Math. Soc. 1963.
[2] Bourbaki, N.: Espaces vectoriels topologiques. Paris: Hermann 1953/1955. · Zbl 0050.10703
[3] Choquet, G.: Ensembles et cônes convexes faiblement complets. C.R. Acad. Sci., Paris254, 1908-1910 (1962). · Zbl 0107.08801
[4] Duffin, R. J.: Infinite programs. Linear inequalities and related systems, p. 157-170 (edited byH. W. Kuhn andA. W. Tucker). Princeton: University Press 1956. · Zbl 0072.37603
[5] Fan, K.: On systems of linear inequalities. Linear inequalities and related systems, p. 99-156 (edited byH. W. Kuhn andA. W. Tucker). Princeton: University Press 1956. · Zbl 0072.37602
[6] ? Existence theorems and extreme solutions for inequalities concerning convex functions or linear transformations. Math. Z.68, 205-216 (1957). · Zbl 0078.10204 · doi:10.1007/BF01160340
[7] Gale, D., H. W. Kuhn, andA. W. Tucker: Linear programming and the theory of games. Activity analysis of production and allocation, p. 317-329 (edited byT. C. Koopmans). New York: John Wiley 1951.
[8] Klee, V. L.: Extremal structure of convex sets. Arch. Math.8, 234-240 (1957). · Zbl 0079.12501 · doi:10.1007/BF01899998
[9] Köthe, G.: Topologische lineare Räume I. Berlin-Göttingen-Heidelberg: Springer 1960. · Zbl 0093.11901
[10] Kretschmer, K. S.: Programmes in paired spaces. Canadian J. Math.13, 221-238 (1961). · Zbl 0097.14705 · doi:10.4153/CJM-1961-019-2
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