Parabolic Non-Automorphism Induced Toeplitz-Composition C*-Algebras with Piece-wise Quasi-Continuous symbols

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Gul U.

COMPLEX ANALYSIS AND OPERATOR THEORY, vol.8, no.1, pp.111-127, 2014 (SCI-Expanded)

• Publication Type: Article / Article
• Volume: 8 Issue: 1
• Publication Date: 2014
• Doi Number: 10.1007/s11785-012-0276-0
• Journal Name: COMPLEX ANALYSIS AND OPERATOR THEORY
• Journal Indexes: Science Citation Index Expanded (SCI-EXPANDED), Scopus
• Page Numbers: pp.111-127
• Hacettepe University Affiliated: Yes

Abstract

In this paper we consider the C*-algebra generated by Toeplitz operators with piece-wise quasi-continuous symbols and a composition operator induced by a parabolic linear fractional non-automorphism symbol modulo compact operators on the Hilbert-Hardy space . This C*-algebra is commutative. We characterize its maximal ideal space. We apply our results to the question of determining the essential spectra of linear combinations of a class of composition operators and Toeplitz operators.