Results 21 to 30 of about 20,884 (264)
Calculations on Matrix Transformations Involving an Infinite Tridiagonal Matrix
Given any sequence z=znn≥1 of positive real numbers and any set E of complex sequences, we write Ez for the set of all sequences y=ynn≥1 such that y/z=yn/znn≥1∈E; in particular, sz0 denotes the set of all sequences y such that y/z tends to zero. Here, we
Ali Fares, Ali Ayad, Bruno de Malafosse
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Two methods for the characterization of compact operators between BK spaces [PDF]
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Malkowsky, Eberhard +2 more
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Characterizations of Matrix and Compact Operators on BK Spaces
In the present paper, by estimating operator norms, we give some characterizations of infinite matrix classes $\left( \left\vert E_{\mu }^{r}\right\vert _{q},\Lambda\right) $ and $\left( \left\vert E_{\mu }^{r}\right\vert _{\infty },\Lambda\right) $, where the absolute spaces $\ \left\vert E_{\mu }^{r}\right\vert _{q},$ $\left\vert E_{\mu }^{r}\right ...
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On β-dual of vector-valued sequence spaces of Maddox
The β-dual of a vector-valued sequence space is defined and studied. We show that if an X-valued sequence space E is a BK-space having AK property, then the dual space of E and its β-dual are isometrically isomorphic.
Suthep Suantai, Winate Sanhan
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Matrix transformations between the sequence space BVP and certain BK spaces
In this paper, we characterize matrix transformations between the sequence space bvp (1 < p < ?) and certain BK spaces. Further?more, we apply the Hausdorff measure of noncompactness to give necessary and sufficient conditions for a linear operator between these spaces to be compact.
Malkowsky, E. +2 more
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Some Topological and Geometrical Properties of a New Difference Sequence Space
We introduce the new difference sequence space 𝑎𝑟𝑝(Δ) . Further, it is proved that the space 𝑎𝑟𝑝(Δ) is the BK-space including the space 𝑏𝑣𝑝, which is the space of sequences of pbounded variation.
Serkan Demiriz, Celal Çakan
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CYCLICITY OF WEIGHTED COMPOSITION OPERATORS ON SOME BK SPACE [PDF]
We will investigate the cyclicity for the adjoint of a weighted composition operator acting on ( ˆ lp(α)) .
B. Yousefi, S.M.A. Musavi
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Given any sequence a=(an)n≥1 of positive real numbers and any set E of complex sequences, we can use Ea to represent the set of all sequences y=(yn)n≥1 such that y/a=(yn/an)n≥1∈E.
Bruno de Malafosse
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Non-unitarity of the BKS transformation for symmetric spaces
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Some New Generalized Difference Spaces of Nonabsolute Type Derived from the Spaces ℓp and ℓ∞
We introduce the sequence space ℓpλ(B) of none absolute type which is a p-normed space and BK space in the cases ...
Feyzi Başar, Ali Karaisa
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