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• W2123303114 abstract "Let 1⩽p<2 and let Lp=Lp[0,1] be the classical Lp-space of all (classes of) p-integrable functions on [0,1]. It is known that any subspace in Lp spanned by a sequence of independent copies of a mean zero random variable f∈Lp is isomorphic to some Orlicz sequence space lN. We employ methods from interpolation theory to fully describe the class of Orlicz functions N which can be obtained by this procedure and to identify the precise connection between N and the distribution of f. Our methods strengthen and complement classical results of M.I. Kadec as well as those of J. Bretagnolle and D. Dacunha-Castelle." @default.
• W2123303114 created "2016-06-24" @default.
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• W2123303114 date "2014-05-01" @default.
• W2123303114 modified "2023-09-26" @default.
• W2123303114 title "Orlicz sequence spaces spanned by identically distributed independent random variables in <mml:math xmlns:mml=http://www.w3.org/1998/Math/MathML altimg=si1.gif overflow=scroll><mml:msub><mml:mrow><mml:mi>L</mml:mi></mml:mrow><mml:mrow><mml:mi>p</mml:mi></mml:mrow></mml:msub></mml:math>-spaces" @default.
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• W2123303114 doi "https://doi.org/10.1016/j.jmaa.2013.11.023" @default.
• W2123303114 hasPublicationYear "2014" @default.
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