Functions with small and large spectra as (non)extreme points in subspaces of 𝐻^{∞}

DOI10.1090/spmj/1763zbMath1521.30010arXiv2110.06713MaRDI QIDQ6112937

Konstantin M. Dyakonov

Publication date: 10 July 2023

Published in: St. Petersburg Mathematical Journal (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2110.06713

zbMATH Keywords

extreme pointsspectral gapsbounded analytic functionslacunary polynomials

Mathematics Subject Classification ID

Convex sets in topological linear spaces; Choquet theory (46A55) Polynomials and rational functions of one complex variable (30C10) Trigonometric polynomials, inequalities, extremal problems (42A05) Hardy spaces (30H10)

Related Items (2)

Inner functions as strongly extreme points: stability properties ⋮ Questions about extreme points

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Two problems on coinvariant subspaces of the shift operator
• Extreme points and extremum problems in \(H_1\)
• The maximum modulus of a trigonometric trinomial
• Extreme points in spaces of polynomials
• Polynomials and entire functions: Zeros and geometry of the unit ball
• A Rudin-de Leeuw type theorem for functions with spectral gaps
• Nearly outer functions as extreme points in punctured Hardy spaces
• Linear Algebra Done Right
• Interpolating Functions of Minimal Norm, Star-Invariant Subspaces, and Kernels of Toeplitz Operators

This page was built for publication: Functions with small and large spectra as (non)extreme points in subspaces of 𝐻^{∞}