Year: 2013
Type: article
Abstract: In this paper, we introduce some Cesàro-type difference sequences spaces defined over a real linear n -normed space and investigate the spaces for completeness under suitable n -norm in each case. Relevant relations among the classes of sequences are examined. We also introduce the notion of n - BK -spaces and show that the spaces can be made an n - BK -space under certain condition. Further, we compute the Köthe-Toeplitz duals of the spaces, wherever possible within the scope of the research of this article. MSC: 40A05, 46A20, 46D05, 46A45, 46E30.
Source: Advances in Difference Equations
Author: Hemen Dutta
Institution: Gauhati University
Language: English
Subfield: Statistics and Probability
Field: Mathematics
Domain: Physical Sciences
Open Access status: gold
Estimated APC paid: $1,790
OpenAlex ID: W2171057137