Hankel operators, the Segal-Bargmann space, and symmetrically-normed ideals

DOI10.1016/J.JFA.2010.10.022zbMath1227.47016OpenAlexW2013258935MaRDI QIDQ629720

Duane Farnsworth

Publication date: 9 March 2011

Published in: Journal of Functional Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jfa.2010.10.022

zbMATH Keywords

Fock spaceSegal-Bargmann spacesymmetrically-normed idealSchatten-\(p\)-class, Hankel operator

Mathematics Subject Classification ID

Linear operators belonging to operator ideals (nuclear, (p)-summing, in the Schatten-von Neumann classes, etc.) (47B10) Toeplitz operators, Hankel operators, Wiener-Hopf operators (47B35) Hilbert spaces with reproducing kernels (= (proper) functional Hilbert spaces, including de Branges-Rovnyak and other structured spaces) (46E22)

Related Items (4)

Schatten class Hankel operators on the Segal-Bargmann space and the Berger-Coburn phenomenon ⋮ The Berger-Coburn phenomenon for Hankel operators on the Fock space ⋮ Bergman commutators and norm ideals ⋮ Hankel operators on weighted Bergman spaces and norm ideals

Cites Work

• Mean oscillation and Hankel operators on the Segal--Bargmann space
• Two-sided ideals and congruences in the ring of bounded operators in Hilbert space
• Interpolation zwischen den Klassen 𝔖_p von Operatoren in Hilberträumen
• Standard deviation and Schatten class Hankel operators on the Segal-Bargmann space
• Maximum Properties and Inequalities for the Eigenvalues of Completely Continuous Operators

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