The noncommutative topology of one-dimensional spaces
نویسندگان
چکیده
منابع مشابه
FINITE DIMENSIONAL SUBSPACES OF NONCOMMUTATIVE Lp Spaces
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: Pacific Journal of Mathematics
سال: 1989
ISSN: 0030-8730,0030-8730
DOI: 10.2140/pjm.1989.136.145