(r1 , r2 ) -Cesàro summable sequence space of non-absolute type and the involved pre-quasi ideal
Bakery, Awad A.; Mohamed, Om Kalthum S.K.;
Abstract
We suggest a sufficient setting on any linear space of sequences V such that the class BVs of all bounded linear mappings between two arbitrary Banach spaces with the sequence of s-numbers in V constructs a map ideal. We define a new sequence space (cesr1,r2t)υ for definite functional υ by the domain of (r1, r2) -Cesàro matrix in ℓt, where r1, r2∈ (0 , ∞) and 1 ≤ t< ∞. We examine some geometric and topological properties of the multiplication mappings on (cesr1,r2t)υ and the pre-quasi ideal B(cesr1,r2t)υs.
Other data
Title | (r<inf>1</inf>, r<inf>2</inf>) -Cesàro summable sequence space of non-absolute type and the involved pre-quasi ideal | Authors | Bakery, Awad A. ; Mohamed, Om Kalthum S.K. | Keywords | (r , r ) -Cesàro matrix 1 2;Minimum space;Multiplication map;Pre-quasi ideal;s-numbers;Simple space | Issue Date | 1-Jan-2021 | Journal | Journal of Inequalities and Applications | ISSN | 10255834 | DOI | 10.1186/s13660-021-02572-4 | Scopus ID | 2-s2.0-85101886913 |
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