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arXiv · 2005.08885

Lacunary polynomials in $L^1$: geometry of the unit sphere

Konstantin M. Dyakonov
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Abstract

Let $\Lambda$ be a finite set of nonnegative integers, and let $\mathcal P(\Lambda)$ be the linear hull of the monomials $z^k$ with $k\in\Lambda$, viewed as a subspace of $L^1$ on the unit circle. We characterize the extreme and exposed points of the unit ball in $\mathcal P(\Lambda)$.

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BibTeXRIS

Konstantin M. Dyakonov. 2020-05-18. Lacunary polynomials in $L^1$: geometry of the unit sphere. https://doi.org/10.1016/j.aim.2021.107607

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