The roots of polynomials and the operator $$\Delta _i^3$$ on the Hahn sequence space h

Modeling Spheres in Some Paranormed Sequence Spaces

“…It was shown in [15], Proposition 2.1, that if the sequence d is increasing and unbounded, then h d is a BK space with AK. Matrix transformations and bounded and compact operators on the Hahn space have recently been studied in various papers, for instance in [5,[15][16][17][18][19][20][21][22][23]. Spectra on the Hahn space were studied in [16,24,25].…”

“…Matrix transformations and bounded and compact operators on the Hahn space have recently been studied in various papers, for instance in [5,[15][16][17][18][19][20][21][22][23]. Spectra on the Hahn space were studied in [16,24,25]. A survey of recent results can also be found in [18].…”

The Generalized Difference Operator Δi3 of Order Three and Its Domain in the Sequence Spaces ℓ1 and bv

“…e generalized difference matrix Δ 3 i � (δ nk ) of order three was defined by Malkowsky et al [7] as…”

On the New Generalized Hahn Sequence Space h d p

“…Besides, the authors stated and proved various significant results concerning characterization of matrix transformations between the space h d and classical BK spaces, and characterization of compact operators on the space h d using Hausdorff measure of noncompactness. We refer to [2,10,[13][14][15][16][17][18][19][20][21][22][23] and the survey paper [22] for more studies and results related to Hahn sequence space.…”