Published February 1, 2019
| Version v1
Journal article
The main classes of invariant Banach limits
- 1. Voronezh State University (Russian Federation)
- 2. University of New South Wales, School of Mathematics and Statistics, Sidney (Australia)
- 3. Department of Mathematical Sciences, Chalmers University of Technology and the University of Göteborg, Göteborg (Sweden)
Description
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 Cesàro operator. (paper)
Availability note (English)
Available from http://dx.doi.org/10.1070/IM8704Additional details
Identifiers
- DOI
- 10.1070/IM8704;
Publishing Information
- Journal Title
- Izvestiya. Mathematics
- Journal Volume
- 83
- Journal Issue
- 1
- Journal Page Range
- p. 124-150
- ISSN
- 1064-5632
INIS
- Country of Publication
- United Kingdom
- Country of Input or Organization
- International Atomic Energy Agency (IAEA)
- INIS RN
- 51068816
- Subject category
- S97: MATHEMATICAL METHODS AND COMPUTING;
- Descriptors DEI
- BANACH SPACE; INVARIANCE PRINCIPLES; MATHEMATICAL OPERATORS; MATHEMATICAL SOLUTIONS
- Descriptors DEC
- MATHEMATICAL SPACE; SPACE