On the Essential Commutant of the Toeplitz Algebra on the Bergman Space
نویسنده
چکیده
Let T be the C∗-algebra generated by the Toeplitz operators {Tf : f ∈ L∞(B, dv)} on the Bergman space of the unit ball. We show that the essential commutant of T equals {Tg : g ∈ VObdd}+K, where VObdd is the collection of bounded functions of vanishing oscillation on B and K denotes the collection of compact operators on La(B, dv).
منابع مشابه
A Double Commutant Relation in the Calkin Algebra on the Bergman Space
Let T be the Toeplitz algebra on the Bergman space La(B, dv) of the unit ball in C. We show that the image of T in the Calkin algebra satisfies the double commutant relation: π(T ) = {π(T )}′′. This is a surprising result, for it is the opposite of what happens in the Hardy-space case [16,17].
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تاریخ انتشار 2016