The main classes of invariant Banach limits
Journal article, 2019

We study functional characteristics and extreme points of the set of Banach limits on the space of bounded sequences. We also consider Banach limits with additional invariance properties with respect to the dilation operator and the Cesaro operator.

dilation operator

extreme points

Cesare operator

invariant Banach limits


E. M. Semenov

Voronezh State University

F. A. Sukochev

University of New South Wales (UNSW)

Alexandr Usachev

Chalmers, Mathematical Sciences, Analysis and Probability Theory

Izvestiya Mathematics

1064-5632 (ISSN) 1468-4810 (eISSN)

Vol. 83 1 124-150


Basic sciences

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Mathematical Analysis

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