Volumes of n-dimensional parallelepipeds in lp spaces
نویسندگان
چکیده
منابع مشابه
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We prove the following noncommutative version of Lewis’s classical result. Every n-dimensional subspace E of Lp(M) (1 < p < ∞) for a von Neumann algebra M satisfies dcb(E,RC n p ) ≤ cp · n ̨̨ ̨ 1 2 − 1 p ̨̨ ̨ for some constant cp depending only on p, where 1 p + 1 p = 1 and RC p = [Rn∩ Cn, Rn +Cn] 1 p . Moreover, there is a projection P : Lp(M) → Lp(M) onto E with ‖P‖cb ≤ cp · n ̨̨ ̨ 1 2 − 1 p ̨̨ ̨ . We fo...
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ژورنال
عنوان ژورنال: Publikacije Elektrotehni?kog fakulteta - serija: matematika
سال: 2005
ISSN: 0353-8893
DOI: 10.2298/petf0516048g