One functional-analytical idea by Alexandrov in convex geometry

Kutateladze Semen Samsonovich

Журнал: Владикавказский математический журнал @vmj-ru

Статья в выпуске: 3 т.4, 2002 года.

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The functional-analytical approach by A. D. Alexandrov is discussed to the Minkowski and Blaschke structures making the set of convex compact figures into a vector space. The resulting analytical possibilities are illustrated by the isoperimetric type problems of finding convex figures separated by current hyperplanes similar to the Urysohn and double bubble problems.

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Короткий адрес: https://sciup.org/14318059

IDS: 14318059   |   УДК: 513.588

Список литературы One functional-analytical idea by Alexandrov in convex geometry

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