Journal of Analysis & Number Theory
Journal license

Journal

Journal of Analysis & Number Theory


Volume
& Issue

Volume 4, Issue 1


Published
on

January 1, 2016


Pages

61-69


DOI

Article

Block Convergence of Series in Topological Vector Spaces

Check for updates


Authors

S. Loganathan* Affiliation:
Department of Mathematics, Thiru. Vi. Ka. Government Arts College, Tiruvarur-610 003, Tamil Nadu, India
and C. Ganesa Moorthy Affiliation:
Department of Mathematics, Alagappa University, Karaikudi-630 004, Tamil Nadu, India


Abstract

A block convergence of a series is the convergence of a subsequence of the sequence of partial sums of the series. Generalized bases are studied in this article, based on this type of convergence.


Keywords

Schauder basis, Block basic sequence, Topological Vector Space


Citation

Loganathan, S. & Moorthy, C. G. (2016). Block convergence of series in topological vector spaces. Journal of Analysis & Number Theory, 4(1), 61–69. https://doi.org/10.18576/jant/040109

Published by: Engineering Journals

Engineering Journals Logo