Spaces of Ideal Convergent Sequences of Bounded Linear Operators |
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Authors: | Vakeel A Khan Kamal M A S Alshlool Sameera A A Abdullah |
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Institution: | 1. Department of Mathematics, Aligarh Muslim University, Aligarh, Indiavakhanmaths@gmail.com;3. Department of Mathematics, Aligarh Muslim University, Aligarh, India |
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Abstract: | AbstractThe 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. |
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Keywords: | Bounded linear operator filter I?convergence double sequence of bounded linear operators ideal monotone space sequence algebra space solid space |
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