Abstract, weighted, and multidimensional Adamjan-Arov-Krein theorems, and the singular numbers of Sarason commutants

DOI10.1007/BF01200217zbMath0804.47026OpenAlexW2317315000MaRDI QIDQ1316455

Mischa Cotlar, Cora Sadosky

Publication date: 14 March 1994

Published in: Integral Equations and Operator Theory (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf01200217

zbMATH Keywords

compact Hankel operatorsAdamjan-Arov-Krein theorembest approximations of their symbols by rational functionsSarason's interpolation theoremsingular numbers of Hankel operators

Mathematics Subject Classification ID

Toeplitz operators, Hankel operators, Wiener-Hopf operators (47B35) Dilations, extensions, compressions of linear operators (47A20)

Related Items (7)

An \(L^{p}\) analog to AAK theory for \(p\geq 2\) ⋮ The effect of boundary geometry on Hankel operators belonging to the trace ideals of Bergman spaces ⋮ Weighted \(H^2\) approximation of transfer functions ⋮ On Schatten-class perturbations of Toeplitz operators ⋮ AAK-type theorems for Hankel operators on weighted spaces ⋮ Compact Hankel operators on generalized Bergman spaces of the polydisc ⋮ Two distinguished subspaces of product BMO and Nehari-AAK theory for Hankel operators on the torus

Cites Work

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• On bounded bilinear forms
• Toeplitz liftings of Hankel forms bounded by non-Toeplitz norms
• Transference of metrics induced by unitary couplings, a Sarason theorem for the bidimensional torus, and a Sz.-Nagy-Foias theorem for two pairs of dilations
• Two-parameter lifting theorems and double Hilbert transforms in commutative and non-commutative settings
• Generalized Interpolation in H ∞

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