Kyungpook Mathematical Journal

  • 제57권4호
  • /
  • Pages.631-640
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  • 2017
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  • 1225-6951(pISSN)
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  • 0454-8124(eISSN)
경북대학교 자연과학대학 수학과 (Department of Mathematics, Kyungpook National University)
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On Some Binomial Difference Sequence Spaces

  • Meng, Jian (Department of Mathematics, Tianjin University of Technology) ;
  • Song, Meimei (Department of Mathematics, Tianjin University of Technology)
  • 투고 : 2017.05.11
  • 심사 : 2017.09.09
  • 발행 : 2017.12.23
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초록

The aim of this paper is to introduce the binomial sequence spaces $b_0^{r,s}(\nabla)$, $b_c^{r,s}(\nabla)$ and $b_{\infty}^{r,s}(\nabla)$ by combining the binomial transformation and difference operator. We prove that these spaces are linearly isomorphic to the spaces $c_0$, c and ${\ell}_{\infty}$, respectively. Furthermore, we compute the Schauder bases and the ${\alpha}-$, ${\beta}-$ and ${\gamma}-duals$ of these sequence spaces.

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참고문헌

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