Finite rank commutators of Toeplitz operators on the bidisk

• Autorzy: Young Joo Lee
• Języki publikacji: EN

Abstrakty

EN

We study some algebraic properties of commutators of Toeplitz operators on the Hardy space of the bidisk. First, for two symbols where one is arbitrary and the other is (co-)analytic with respect to one fixed variable, we show that there is no nontrivial finite rank commutator. Also, for two symbols with separated variables, we prove that there is no nontrivial finite rank commutator or compact commutator in certain cases.

Kategorie tematyczne

• 32A35: H p -spaces, Nevanlinna spaces
• 47B35: Toeplitz operators, Hankel operators, Wiener-Hopf operators

• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Studia Mathematica
• Rocznik: 2012
• Tom: 209
• Numer: 2
• Strony: 189-201

Daty

wydano

2012

Twórcy

autor

Young Joo Lee

• Department of Mathematics, Chonnam National University, Gwangju 500-757, Korea

Identyfikatory

DOI

10.4064/sm209-2-6