One functional-analytical idea by Alexandrov in convex geometry (Novosibirsk)

Kutateladze, S. S.
Владикавказский математический журнал. . Том 4. 2002 г.. Выпуск 3.

Аннотация:
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.

Язык статьи: Английский Загрузить полный текст