Geodesic
Finite rank commutators of Toeplitz operators on the bidisk
Young Joo Lee1
1 Department of Mathematics Chonnam National University Gwangju 500-757, Korea
Studia Mathematica, Tome 209 (2012) no. 2, pp. 189-201

Voir la notice de l'article provenant de la source Institute of Mathematics Polish Academy of Sciences

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.
DOI : 10.4064/sm209-2-6
Keywords: study algebraic properties commutators toeplitz operators hardy space bidisk first symbols where arbitrary other co analytic respect fixed variable there nontrivial finite rank commutator symbols separated variables prove there nontrivial finite rank commutator compact commutator certain cases

Young Joo Lee 1

1 Department of Mathematics Chonnam National University Gwangju 500-757, Korea 
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Young Joo Lee. Finite rank commutators of Toeplitz operators on the bidisk. Studia Mathematica, Tome 209 (2012) no. 2, pp. 189-201. doi: 10.4064/sm209-2-6

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