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Ferreira, M. A. M. (2015). The vector space convex parts separation as a consequence of the Hahn-Banach theorem. International Journal of Academic Research. 7 (3)
M. A. Ferreira, "The vector space convex parts separation as a consequence of the Hahn-Banach theorem", in Int. Journal of Academic Research, vol. 7, no. 3, 2015
@article{ferreira2015_1775746552703,
author = "Ferreira, M. A. M.",
title = "The vector space convex parts separation as a consequence of the Hahn-Banach theorem",
journal = "International Journal of Academic Research",
year = "2015",
volume = "7",
number = "3",
doi = "10.7813/2075-4124.2015/7-3/A.1"
}
TY - JOUR TI - The vector space convex parts separation as a consequence of the Hahn-Banach theorem T2 - International Journal of Academic Research VL - 7 IS - 3 AU - Ferreira, M. A. M. PY - 2015 SN - 2075-4124 DO - 10.7813/2075-4124.2015/7-3/A.1 AB - The separation theorems are the key results for convex programming. They are important consequences of the Hahn-Theorem theorem. In this work begin to consider vector spaces, in general, then normed spaces and lastly Hilbert spaces. In the end, applications of these results in convex programming and in minimax theorem, two important tools in operations research, management and economics are presented. ER -
English