The set of Banach limits and its discrete and continuous subsets

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Abstract

The note states criteria for a Banach limit to belong to discrete or to continuous part of the set of Banach limits. Diameters and radii of these parts are found, too.

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About the authors

N. N. Avdeev

Voronezh State University

Author for correspondence.
Email: nickkolok@mail.ru
Russian Federation, Voronezh

R. E. Zvolinskii

Voronezh State University

Email: roman.zvolinskiy@gmail.com
Russian Federation, Voronezh

E. M. Semenov

Voronezh State University

Email: nadezhka_ssm@geophys.vsu.ru
Russian Federation, Voronezh

A. S. Usachev

Voronezh State University; Central South University

Email: dr.alex.usachev@gmail.com
Russian Federation, Voronezh; Changsha, Hunan, People's Republic of China

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