- Communications Faculty of Sciences University Ankara Series A1 Mathematics and Statistics
- Vol: 69 Issue: 1
- Grand Lorentz sequence space and its multiplication operator
Grand Lorentz sequence space and its multiplication operator
Authors : Oğuz Oğur
Pages : 771-781
Doi:10.31801/cfsuasmas.680388
View : 6 | Download : 4
Publication Date : 2020-06-30
Article Type : Research
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