This is an announcement for the paper "On near-optimal admissible meshes" by Alexander Brudnyi.

Abstract: We show that every compact subset of $\mathbb C^n$ admits a near-optimal admissible mesh. We apply this result to study geometric properties of Banach spaces of traces of real polynomials on $\mathbb R^n$ to compact subsets equipped with supremum norms.

Archive classification: math.FA

Mathematics Subject Classification: 41A10, 41A17, 65D05

Remarks: 6 pages

Submitted from: albru@math.ucalgary.ca

The paper may be downloaded from the archive by web browser from URL

http://front.math.ucdavis.edu/1402.2303

or

http://arXiv.org/abs/1402.2303