Spaces of Ideal Convergent Sequences of Bounded Linear Operators. (10th September 2018)

• Record Type: Journal Article
• Authors: Khan, Vakeel A.; Alshlool, Kamal M. A. S.; Abdullah, Sameera A. A.
• Is Part Of: Numerical functional analysis and optimization. Volume 39:Number 12(2018)
• Page Start: 1278
• Page End: 1290
• Publication Date: 2018-09-10
• Subjects: Bounded linear operator -- filter -- I?convergence double sequence of bounded linear operators -- ideal -- monotone space -- sequence algebra space -- solid space; Functional analysis -- Periodicals; Numerical analysis -- Periodicals; Mathematical optimization -- Periodicals; Numerical Analysis, Computer-Assisted; 515.705
• DOI: 10.1080/01630563.2018.1477797
• Languages: English
• ISSNs: 0163-0563

Abstract

Abstract: The notation of I –convergence was introduced and studied by Kostyrko, Macaj, Salat, and Wilczynski. Recently, the concept of I –convergent for a sequence of bounded linear operators has been studied by Khan and Shafiq. This has motivated us to introduce and study some new spaces of double sequences of bounded linear operators and their basic topological and algebraic properties of these spaces. And we study some of their basic topological and algebraic properties of these spaces. We prove some inclusion relations on these spaces.