On self-commutators of Toeplitz operators with rational symbols

• Autorzy: Sherwin Kouchekian , James E. Thomson
• Języki publikacji: EN

Abstrakty

EN

We prove that the self-commutator of a Toeplitz operator with unbounded analytic rational symbol has a dense domain in both the Bergman space and the Hardy space of the unit disc. This is a basic step towards establishing whether the self-commutator has a compact or trace-class extension.

Kategorie tematyczne

• 47B38: Operators on function spaces (general)
• 32A36: Bergman spaces
• 47B35: Toeplitz operators, Hankel operators, Wiener-Hopf operators

• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Studia Mathematica
• Rocznik: 2007
• Tom: 179
• Numer: 1
• Strony: 41-47

Daty

wydano

2007

Twórcy

autor

Sherwin Kouchekian

• Department of Mathematics & Statistics, University of South Alabama, Mobile, AL 36668, U.S.A.

autor

James E. Thomson

• Department of Mathematics, Virginia Tech, Blacksburg, VA 24061, U.S.A.

Identyfikatory

DOI

10.4064/sm179-1-4