When do Toeplitz and Hankel operators commute?

DOI10.1007/BF01194483zbMath0961.47015OpenAlexW2350990751MaRDI QIDQ1583711

Rubén A. Martínez-Avendaño

Publication date: 21 May 2001

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

Full work available at URL: https://doi.org/10.1007/bf01194483

zbMATH Keywords

Hankel operatorToeplitz operatorsymbol

Mathematics Subject Classification ID

Toeplitz operators, Hankel operators, Wiener-Hopf operators (47B35)

Related Items

Algebraic properties of small Hankel operators on the harmonic Bergman space ⋮ The finite rank perturbations of the product of Hankel and Toeplitz operators ⋮ Commuting Toeplitz and Hankel operators on harmonic Dirichlet spaces ⋮ Brown-Halmos type theorems of Toeplitz+Hankel operators ⋮ Slantification of Hankel operators on Hardy space of \(n\)-torus ⋮ Essentially commuting Hankel and Toeplitz operators. ⋮ Multiplicative properties of infinite block Toeplitz and Hankel matrices ⋮ The Skew commutators of Toeplitz operators or Hankel operators on Hardy spaces ⋮ Commuting separately quasihomogeneous small Hankel operators on pluriharmonic Bergman space ⋮ Product of weighted Hankel and weighted Toeplitz operators ⋮ On compact perturbations of Hankel operators and commutators of Toeplitz and Hankel operators ⋮ Non-compact \(\lambda\)-Hankel operators ⋮ Hankel operators on the Dirichlet space ⋮ A generalization of Hankel operators

Cites Work

• On bounded bilinear forms
• Hankel Operators on Hilbert Space
• On the Spectra of Toeplitz's Matrices
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