No greedy bases for matrix spaces with mixed lp and lq norms
نویسنده
چکیده
We show that non of the spaces ( ⊕∞ n=1 lp)lq , 1 ≤ p ̸= q < ∞ have a greedy basis. This solves a problem raised by Dilworth, Freeman, Odell and Schlumprect. Similarly, the spaces ( ⊕∞ n=1 lp)c0 , 1 ≤ p < ∞, and ( ⊕∞ n=1 co)lq , 1 ≤ q < ∞, do not have greedy bases. It follows from that and known results that a class of Besov spaces on Rn lack greedy bases as well.
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ورودعنوان ژورنال:
- Journal of Approximation Theory
دوره 184 شماره
صفحات -
تاریخ انتشار 2014