The spectrum of the $C^*$-algebra of singular integral operators with semi-almost periodic coefficients

Author:

Baibulov Ilnur Vil'evich1,Sarafanov Oleg Vasil'evich1

Affiliation:

1. St. Petersburg University, St. Petersburg, Russia

Abstract

A $C^*$-algebra generated by one-dimensional singular integral operators with semi-almost periodic coefficients is studied. The primitive spectrum of this algebra is described, that is, all of its primitive ideals are listed and the Jacobson topology is described. Bibliography: 27 titles.

Funder

Russian Science Foundation

Ministry of Science and Higher Education of the Russian Federation

Publisher

Steklov Mathematical Institute

Reference27 articles.

1. The algebra of singular integral operators in $R^n$;H. O. Cordes;J. Math. Mech.,1965

2. On $C^*$-algebras of singular integral operators with discontinuous coefficients on a complex contour. I;B. A. Plamenevskiĭ and V. N. Senichkin;Soviet Math. (Iz. VUZ),1984

3. On $C^*$-algebras of singular integral operators with discontinuous coefficients on a complex contour. II;B. A. Plamenevskiĭ and V. N. Senichkin;Soviet Math. (Iz. VUZ),1984

4. Convolution Operators and Factorization of Almost Periodic Matrix Functions

5. The C∗-algebra of singular integral operators with semi-almost periodic coefficients

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