Grand Lorentz sequence space and its multiplication operator

Abstract

In this paper, we introduce the grand Lorentz sequence spaces ℓ_{p,q)}^{θ} and study on some topological properties. Also, we characterize some properties of the multiplication operator, such as compactness, Fredholmness etc., defined on ℓ_{p,q)}^{θ}.

Keywords

• Grand Lorentz sequence spaces,multiplication operator,compactness,Fredholm operator

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