标题:New characterizations
of some <mml:math alttext="$L^p$" xmlns:mml="http://www.w3.org/1998/Math/MathML"><mml:mrow><mml:msup><mml:mi>L</mml:mi><mml:mi>p</mml:mi></mml:msup></mml:mrow></mml:math>-spaces
期刊名称:International Journal of Mathematics and Mathematical Sciences
印刷版ISSN:0161-1712
电子版ISSN:1687-0425
出版年度:2000
卷号:23
DOI:10.1155/S0161171200002465
出版社:Hindawi Publishing Corporation
摘要:For a complete measure space (X,∑,μ), we give conditions
which force Lp(X,μ), for 1≤p<∞, to be isometrically isomorphic to ℓp(Γ) for some index set
Γ which depends only on (X,μ). Also, we give some new
characterizations which yield the inclusion Lp(X,μ)⊂Lq(X,μ) for 0<p<q.