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Mat. Zametki, 2022 Volume 112, Issue 6, Pages 820–824 (Mi mzm13643)
Invariant Banach Limits and Their Convex Subsets

R. E. Zvolinskii, E. M. Semenov

Voronezh State University

Abstract: Sets of Banach limits invariant under dilation operators are studied. The convexity of such sets is investigated. Minimal subsets are introduced and studied.

Keywords: Banach limit, space of bounded sequences, dilation operator.

UDC: 517.982.252

Received: 01.07.2022

DOI: 10.4213/mzm13643


 English version: Mathematical Notes, 2022, 112:6, 881–884

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© Steklov Math. Inst. of RAS, 2025