Geodesic
On the characterization of matrix domains using Cesàro and backward difference operators
Filomat, Tome 37 (2023) no. 20, p. 6687

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DOI

In this manuscript, the new sequence space ZΦ for Z ∈ {c, c0, ℓ∞} and Φ = CmΔ have been introduced using the Ces`aro matrix and backward difference operator. Some of the topological properties of these spaces have been studied and the existence of the Schauder basis for new spaces have been verified. Also, the α, β and γ-duals have been computed along with the characterization of the matrix transformation between new spaces.
DOI : 10.2298/FIL2320687S
Classification : 40A05, 46A45, 40D20
Keywords: Difference operator, BK-space, α-, β-, γ-duals, Matrix mappings 
Sukhdev Singh; Toseef Ahmed Malik. On the characterization of matrix domains using Cesàro and backward difference operators. Filomat, Tome 37 (2023) no. 20, p. 6687 . doi: 10.2298/FIL2320687S
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     author = {Sukhdev Singh and Toseef Ahmed Malik},
     title = {On the characterization of matrix domains using {Ces\`aro} and backward difference operators},
     journal = {Filomat},
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     year = {2023},
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     doi = {10.2298/FIL2320687S},
     language = {en},
     url = {http://geodesic.mathdoc.fr/articles/10.2298/FIL2320687S/}
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