- 期刊
NEW CHARACTERIZATIONS OF SOME L^p-SPACES
摘要
For a complete measure space (X,Σ,μ), we give conditions which force Lp(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.
延伸閱讀
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