Toeplitz Operators and Toeplitz Algebra with Symbols of Vanishing Oscillation
نویسندگان
چکیده
We study the C∗-algebra generated by Teoplitz operators with symbols of vanishing (mean) oscillation on the Bergman space of the unit ball. We show that the index calculation for Fredholm operators in this C∗-algebra can be easily and completely reduced to the classic case of Toeplitz operators with symbols that are continuous on the closed unit ball. Moreover, in addition to a number of other properties, we show that this C∗-algebra has uncountably many Fredholm components.
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