On the commutativity of sums of Toeplitz operators on the Bergman space

Issam Louhichi; Khitam Aqel

arxiv: 1504.06928 · v1 · pith:PZJYITIFnew · submitted 2015-04-27 · 🧮 math.FA

On the commutativity of sums of Toeplitz operators on the Bergman space

Khitam Aqel , Issam Louhichi This is my paper

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keywords operatorstoeplitzbergmancommutativityspacesumsarchbicommutants

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In this paper, we discuss the commutativity of sums of two quasihomogeneous Toeplitz operators on the Bergman space of the unit disc. Our main result goes in the direction of the conjecture in "Bicommutants of Toeplitz operators" (by I. Louhichi and N. V. Rao. Arch. Math. 91, 2008, 256-264)

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On the commutativity of sums of Toeplitz operators on the Bergman space

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