Journal of Integrative Natural Science (통합자연과학논문집)

The Basic Science Institute Chosun University (조선대학교 기초과학연구원)
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Summability Results for Mapping Matrices

  • Yoo, Won Sok (Department of Applied Mathematics, Kumoh National Institute of Technology)
  • Received : 2018.01.26
  • Accepted : 2018.02.19
  • Published : 2018.03.30
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Abstract

For topological vector spaces X and Y, let $F_0(X,Y)=\{f{\in}Y^X:f(0)=0\}$. Then it is an extremely large family and the family of linear operators is a very small subfamily of $F_0(X,Y)$. In this paper, we establish the characterizations of $F_0(X,Y)$-matrix families (${l^{\infty}(X)$, ${l^{\infty}(Y)$), ($c_0(X)$, $l^{\infty}(Y)$) and ($c_0(X)$, $l^{\infty}(Y)$).

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Acknowledgement

Supported by : Kumoh National Institute of Technology

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