论文期刊

The matrix domain and the spectra of a generalized difference operator




作者: Jian Meng, Liquan Mei
发表/完成日期: 2019-02-15
期刊名称: Journal of mathematical Analysis and Applications
期卷: 470(2)
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论文简介
In this paper, some results of the generalized difference operator Bv(m) are studied. The Euler difference sequence spaces e0t(Bv(m)) and ect(Bv(m)) are introduced. Furthermore, some functional properties, α-, β- and γ-duals of these sequence spaces are examined. Finally, the sets of the spectrum, the point spectrum, the residual spectrum and the continuous spectrum of the operator Bv(m) on the space ℓ1 are given.