A NOTE ON A CHARACTERIZATION OF LOCAL NULL SEQUENCE
1 Department of Pure and Applied Mathematics, Ladoke Akintola University of Technology, PMB 4000, Ogbomoso, Oyo State, Nigeria
* Corresponding author: soluyemi@lautech.edu.ng
* Corresponding author: soluyemi@lautech.edu.ng
Abstract
We replace an arbitrary sequence of positive real numbers by a sequence of positive integers in a characterization of local null sequence, and consequently procure an example of a separated locally convex space in which convergence is Mackey.
Keywords
Disc
Local Convergence
Balanced
Pseudometric Topology
& Separated Locally Convex Space.
How to Cite
OLUYEMI, S. (2014). A NOTE ON A CHARACTERIZATION OF LOCAL NULL SEQUENCE. Nigerian Journal of Mathematics and Applications, 23(1), 105-109.
S. OLUYEMI, "A NOTE ON A CHARACTERIZATION OF LOCAL NULL SEQUENCE," Nigerian Journal of Mathematics and Applications, vol. 23, no. 1, pp. 105-109, June 2014.
