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


Gul U.

COMPLEX ANALYSIS AND OPERATOR THEORY, cilt.8, ss.111-127, 2014 (SCI İndekslerine Giren Dergi) identifier identifier

  • Cilt numarası: 8 Konu: 1
  • Basım Tarihi: 2014
  • Doi Numarası: 10.1007/s11785-012-0276-0
  • Dergi Adı: COMPLEX ANALYSIS AND OPERATOR THEORY
  • Sayfa Sayıları: ss.111-127

Özet

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.