Author:
M. Mursaleen Department of Mathematics, Aligarh Muslim University, Aligarh, 202002 India

Search for other papers by M. Mursaleen in
Current site
Google Scholar
PubMed
Close
Restricted access

Abstract  

The idea of A-invariant mean and A-almost convergence is due to J. P. Duran [8], which is a generalization of the usual notion of Banach limit and almost convergence. In this paper, we discuss some important properties of this method and prove that the space F(A) of A-almost convergent sequences is a BK space with ‖ · ‖, and also show that it is a nonseparable closed subspace of the space l of bounded sequences.

  • Collapse
  • Expand

To see the editorial board, please visit the website of Springer Nature.

For subscription options, please visit the website of Springer Nature.

Analysis Mathematica
Language English
Size B5
Year of
Foundation
1975
Volumes
per Year
1
Issues
per Year
4
Founder Akadémiai Kiadó
Founder's
Address
H-1117 Budapest, Hungary 1516 Budapest, PO Box 245
Publisher Akadémiai Kiadó
Springer Nature Switzerland AG
Publisher's
Address
H-1117 Budapest, Hungary 1516 Budapest, PO Box 245.
CH-6330 Cham, Switzerland Gewerbestrasse 11.
Responsible
Publisher
Chief Executive Officer, Akadémiai Kiadó
ISSN 0133-3852 (Print)
ISSN 1588-273X (Online)