Grand Lorentz sequence space and its multiplication operator
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Date
2020-06-30
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Ankara Üniversitesi Fen Fakültesi
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}.
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Keywords
Grand Lorentz sequence spaces, Multiplication operator, Compactness