Grand Lorentz sequence space and its multiplication operator

Authors : Oğuz OĞUR

Pages : 771-781

Doi:10.31801/cfsuasmas.680388

View : 9 | Download : 6

Publication Date : 2020-06-30

Article Type : Research Paper

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