2017
Том 69
№ 9

All Issues

On the $C^{*}$-Algebra Generated by the Bergman Operator, Carleman Second-Order Shift, and Piecewise Continuous Coefficients

Mozel’ V. A.


Abstract

We study the $C^{*}$ -algebra generated by the Bergman operator with piecewise continuous coefficients in the Hilbert space $L_2$ and extended by the Carleman rotation by an angle $π$. As a result, we obtain an efficient criterion for the operators from the indicated $C^{*}$ -algebra to be Fredholm operators.

English version (Springer): Ukrainian Mathematical Journal 67 (2015), no. 9, pp 1400-1410.

Citation Example: Mozel’ V. A. On the $C^{*}$-Algebra Generated by the Bergman Operator, Carleman Second-Order Shift, and Piecewise Continuous Coefficients // Ukr. Mat. Zh. - 2015. - 67, № 9. - pp. 1244–1252.