Geodesic
Rate of Decay of the Bernstein Numbers
Žurnal matematičeskoj fiziki, analiza, geometrii, Tome 9 (2013) no. 1, pp. 59-72 Cet article a éte moissonné depuis la source Math-Net.Ru

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We show that if a Banach space $X$ contains uniformly complemented $\ell_2^n$'s then there exists a universal constant $b=b(X)>0$ such that for each Banach space $Y$, and any sequence $d_n\downarrow 0$ there is a bounded linear operator $T:X\to Y$ with the Bernstein numbers $b_n(T)$ of $T$ satisfying $b^{-1}d_n\le b_n(T)\le bd_n$ for all $n$. 
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A. Plichko. Rate of Decay of the Bernstein Numbers. Žurnal matematičeskoj fiziki, analiza, geometrii, Tome 9 (2013) no. 1, pp. 59-72. http://geodesic.mathdoc.fr/item/JMAG_2013_9_1_a4/

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