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JOURNALS // Trudy Moskovskogo Matematicheskogo Obshchestva // Archive

Tr. Mosk. Mat. Obs., 2022 Volume 83, Issue 2, Pages 241–256 (Mi mmo672)

On properties of limits of solutions in the noncommutative sigma model

A. V. Domrina

Lomonosov Moscow State University, Faculty of Computational Mathematics and Cybernetics

Abstract: In this article, sufficient conditions are obtained for the limit of a sequence of solutions converging in the operator norm also to be a solution. It is shown that the extended solutions of such a sequence of solutions converge to an extended solution of the limit. It is also shown that the limit of a sequence of solutions with uniton number 3 can only have uniton number 2 or 3.

UDC: 517.986.9

MSC: 81T10, 81T75

Received: 23.04.2022
Revised: 15.08.2022


 English version:
Transactions of the Moscow Mathematical Society, 2022, 83, 201–215


© Steklov Math. Inst. of RAS, 2026