On the Nonsquare Constants of Orlicz Spaces with Orlicz Norm
Copyright policy )On the Nonsquare Constants of Orlicz Spaces with Orlicz Norm
AbstractLet lΦ and LΦ(Ω) be the Orlicz sequence space and function space generated by N-function Φ(u) with Orlicz norm. We give equivalent expressions for the nonsquare constants CJ(lΦ), CJ(LΦ(Ω)) in sense of James and CS(lΦ), CS(LΦ(Ω)) in sense of Schäffer. We are devoted to get practical computational formulas giving estimates of these constants and to obtain their exact value in a class of spaces lΦ and LΦ(Ω).
- Suzhou University China (People's Republic of)
nonsquare constants, Geometry and structure of normed linear spaces, Orlicz function spaces, \(N\)-functions, Orlicz sequence spaces, Spaces of measurable functions (\(L^p\)-spaces, Orlicz spaces, Köthe function spaces, Lorentz spaces, rearrangement invariant spaces, ideal spaces, etc.)
nonsquare constants, Geometry and structure of normed linear spaces, Orlicz function spaces, \(N\)-functions, Orlicz sequence spaces, Spaces of measurable functions (\(L^p\)-spaces, Orlicz spaces, Köthe function spaces, Lorentz spaces, rearrangement invariant spaces, ideal spaces, etc.)
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