Institute of Applied Mathematics and Informatics of Vladikavkaz Scientific Centre
Vladikavkaz Mathematical Journal

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July-September, 2002

Volume 4, Issue 3

Issue is dedicated to 90th anniversary of XX century oustanding mathematician Aleksandr Danilovich Alexandrov

Aleksandr Danilovich Alexandrov (1912-1999)
Yu. F. Borisov, V. A. Zalgaller, S. S. Kutateladze, O. A. Ladyzhenskaya,
A. V. Pogorelov, and Yu. G. Reshetnyak

Aleksandr Danilovich Alexandrov (1912-1999)

Article (rus.) - [pdf] [zip-pdf]

A By-Proxy Talk on Alexandrov's Contribution
S. S. Kutateladze (Novosibirsk)
UDC 513.588

This talk presents the unpublished articles by O. A. Ladyzhenskaya, Yu. G. Reshetnyak, and V. A. Zalgaller concerning the nomination of A. D. Alexandrov for the Wolf Prize in 1995.

Article (eng.) - [pdf] [zip-pdf]

About Baire type Jordan algebras
F. N. Arzikulov (Andzhidzhan)
UDC 517.98

Article (rus.) - [pdf] [zip-pdf]

A One-Product Dynamic Model of Capacity Substitution
L. A. Beklaryan, S. V. Borisova (Moskow)
UDC 338.24.01

Article (rus.) - [pdf] [zip-pdf]

About the Representation Theorems by A. D. Aleksandrov and A. A. Markov for Dominated Operators
A. G. Kusraev and S. A. Malyugin (Vladikavkaz; Novosibirsk)
UDC 517.98

Article (rus.) - [pdf] [zip-pdf]

One Functional-Analytical Idea by Alexandrov in Convex Geometry
A. G. Kusraev and S. A. Malyugin (Vladikavkaz; Novosibirsk)
UDC 517.588

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.

Article (eng.) - [pdf] [zip-pdf]





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