Normed and Paranormed Sequence Spaces

In this chapter, certain normed and paranormed sequence spaces are studied, and the α-, β-, γ- and continuous duals of the spaces https://www.w3.org/1998/Math/MathML">ℓ∞https://s3-euw1-ap-pe-df-pch-content-public-p.s3.eu-west-1.amazonaws.com/9781003294153/97608605-4a8b-44f7-b217-ca384a248c13/content/math2_1.tif" xmlns:xlink="https://www.w3.org/1999/xlink"/>, c, c₀ and https://www.w3.org/1998/Math/MathML">ℓphttps://s3-euw1-ap-pe-df-pch-content-public-p.s3.eu-west-1.amazonaws.com/9781003294153/97608605-4a8b-44f7-b217-ca384a248c13/content/math2_2.tif" xmlns:xlink="https://www.w3.org/1999/xlink"/> of all bounded, convergent, null and absolutely p-summable sequences are determined together with some other sequence spaces isomorphic to them. Additionally, a table of the α-, β- and γ-duals of certain normed sequence spaces is given.