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• W2158640388 abstract "We investigate the norm of sums of independent vector-valued random variables in noncommutative Lp spaces. This allows us to obtain a uniform family of complete embeddings of the Schatten class Sqn in Sp(ℓqm) with optimal order m∼n2. Using these embeddings we show the surprising fact that the sharp type (cotype) index in the sense of operator spaces for Lp[0,1] is min(p,p′) (max(p,p′)). Similar techniques are used to show that the operator space notions of B-convexity and K-convexity are equivalent." @default.
• W2158640388 created "2016-06-24" @default.
• W2158640388 creator A5030843204 @default.
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• W2158640388 date "2005-04-01" @default.
• W2158640388 modified "2023-09-27" @default.
• W2158640388 title "The norm of sums of independent noncommutative 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:mo stretchy=false>(</mml:mo><mml:msub><mml:mrow><mml:mo>ℓ</mml:mo></mml:mrow><mml:mrow><mml:mn>1</mml:mn></mml:mrow></mml:msub><mml:mo stretchy=false>)</mml:mo></mml:math>" @default.
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• W2158640388 doi "https://doi.org/10.1016/j.jfa.2004.09.002" @default.
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