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- W2893661937 abstract "In this paper the sequence spaces $b_0^{r,s}(p)$, $b_c^{r,s}(p)$, $b_{infty}^{r,s}(p)$ and $b^{r,s}(p)$ which are the generalization of the classical Maddox's paranormed sequence spaces have been introduced and proved that the spaces $b_0^{r,s}(p)$, $b_c^{r,s}(p)$, $b_{infty}^{r,s}(p)$ and $b^{r,s}(p)$ are linearly isomorphic to spaces $c_0(p)$, $c(p)$, $ell_{infty}(p)$ and $ell(p)$, respectively. Besides this, the $alpha-,beta-$ and $gamma-$duals of the spaces $b_0^{r,s}(p)$, $b_c^{r,s}(p)$, and $b^{r,s}(p)$ have been computed, their bases have been constructed and some topological properties of these spaces have been studied. Finally, the classes of matrices $(b_0^{r,s}(p) : mu)$, $(b^{r,s}_c(p): mu)$ and $(b^{r,s}(p): mu)$ have been characterized, where $mu$ is one of the sequence spaces $ell_infty,c$ and $c_0$ and derives the other characterizations for the special cases of $mu$." @default.
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- W2893661937 date "2018-09-30" @default.
- W2893661937 modified "2023-09-25" @default.
- W2893661937 title "On the paranormed binomial sequence spaces" @default.
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- W2893661937 doi "https://doi.org/10.32323/ujma.395247" @default.
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