In this manuscript, the new sequence space ZΦ for Z ∈ {c, câ‚€, ℓ∞} and Φ = CmΔ have been introduced using the Cesàro matrix and backward difference operator. Some of the topological properties of these ...
We show that every unilateral weighted backward shift T on lp, where 1 ≤ p < ∞, has the factorization T = AB with two hypercyclic operators A and B, one of which is a unilateral weighted backward ...
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