Invertibility threshold for $H^{∞}$ trace algebras, and effective matrix inversions

DOI10.1090/S1061-0022-2011-01186-0zbMath1254.47039arXiv1010.6090OpenAlexW2086889430MaRDI QIDQ3119071

Nikolai Nikolski, Vasily I. Vasyunin

Publication date: 7 March 2012

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

Full work available at URL: https://arxiv.org/abs/1010.6090

zbMATH Keywords

critical constantinvisible spectrum\(H^{\infty }\) trace algebraBourgain-Tzafriri restricted invertibility conjectureeffective inversionsinterpolation Blaschke product

Mathematics Subject Classification ID

Spaces of bounded analytic functions of one complex variable (30H05) Algebras of specific types of operators (Toeplitz, integral, pseudodifferential, etc.) (47L80)

Related Items (4)

From \(\mathcal{H}^\infty\) to \(\mathcal{N}\). Pointwise properties and algebraic structure in the Nevanlinna class ⋮ Generalized Carleson-Newman inner functions ⋮ Numerically detectable hidden spectrum of certain integration operators ⋮ The Corona property in Nevanlinna quotient algebras and interpolating sequences

Cites Work

• Unnamed Item
• Norm controlled inversions and a corona theorem for \(H^\infty \)-quotient algebras
• Invertibility of ``large submatrices with applications to the geometry of Banach spaces and harmonic analysis
• An elementary proof of the restricted invertibility theorem
• Frames and the Feichtinger conjecture
• Extensions of Pure States
• The Kadison–Singer Problem in mathematics and engineering

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