• Corpus ID: 198183565

# Rate of Decay of the Bernstein Numbers

```@inproceedings{Plichko2012RateOD,
title={Rate of Decay of the Bernstein Numbers},
author={Anatolij M. Plichko},
year={2012}
}```
We show that if a Banach space X contains uniformly complemented `2 ’s then there exists a universal constant b = b(X) > 0 such that for each Banach space Y , and any sequence dn ↓ 0 there is a bounded linear operator T : X → Y with the Bernstein numbers bn(T ) of T satisfying b−1dn ≤ bn(T ) ≤ bdn for all n.
6 Citations
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In this paper, we consider a condition on subspaces in order to improve bounds given in the Bernstein's Lethargy Theorem (BLT) for Banach spaces. Let \$d_1 \geq d_2 \geq \dots d_n \geq \dots > 0\$ be
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Abstract give estimates for the approximation numbers of composition operators on the Hp spaces, 1 ≤ p < ∞

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