New characterizations of some L p -spaces

Russell S. Jenkins and Ramesh V. Garimella

International Journal of Mathematics and Mathematical Sciences, 2000, vol. 23, 1-6

Abstract:

For a complete measure space ( X , ∑ , μ ) , we give conditions which force L p ( X , μ ) , for 1 ≤ p < ∞ , to be isometrically isomorphic to ℓ p ( Γ ) for some index set Γ which depends only on ( X , μ ) . Also, we give some new characterizations which yield the inclusion L p ( X , μ ) ⊂ L q ( X , μ ) for 0 < p < q .

Date: 2000
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jijmms:702926

DOI: 10.1155/S0161171200002465

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