Владикавказский математический журнал №1 2012 (150,00 руб.)

Южный математический институт ВНЦ РАН и РСО-А, 2011 c Р О С С И Й С К А Я А К А Д Е М И Я Н А У К В Л А Д И К А В К А З С К И Й Н А У Ч Н Ы Й Ц Е Н Т Р ЮЖНЫЙ МАТЕМАТИЧЕСКИЙ ИНСТИТУТ ВЛАДИКАВКАЗСКИЙ МАТЕМАТИЧЕСКИЙ ЖУРНАЛ Том 14, выпуск 1 Январь–март, 2012 СОДЕРЖАНИЕ Вехи жизни Л. <...> Владикавказский математический журнал 2012, Том 14, Выпуск 1, С. 7–21 MATHEMATICS AND ECONOMICS IN THE LEGACY OF LEONID KANTOROVICH S. S. Kutateladze This is a short overview of the life of Leonid Kantorovich and his contribution to the formation of the modern outlook on the interaction between mathematics and economics. <...> Kantorovich’s Path Kantorovich was born in the family of a venereologist at St. Petersburg on January 19, 1912 (January 6, according to the old Russian style). <...> The letter of Academician N. N. Luzin, written on April 29, 1934, was found in the personal archive of Kantorovich a few years ago during preparation of his selected works for publication (see [1]). <...> One thing I know for certain, however: the range of your mental powers which, so far  2012 Kutateladze S. S. as I accustomed myself to guess people, open up limitless possibilities in science. <...> I will c 8 Kutateladze S. S. not utter the appropriate word — what for? <...> In 1935 Kantorovich made his major mathematical discovery — he defined K-spaces, i. e., vector lattices whose every nonempty order bounded subset had an infimum and supremum. <...> The Kantorovich spaces have provided the natural framework for developing the theory of linear inequalities which was a practically uncharted area of research those days. <...> Another challenging source of interest in linear inequalities was the stock of problems of economics. <...> Finally, the concept of linear inequality is inseparable from the key idea of a convex set. <...> Functional analysis implies <...>