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Dr. Hocine Guediri

Associate Professor

Faculty

كلية العلوم
Office: 2 A 175 B 4
المنشورات
مقال فى مجلة
2013

Dual Toeplitz Operators on the Sphere

Dual Toeplitz operators on the Hardy space of the unit circle are anti-unitarily equivalent
to Toeplitz operators. In higher dimensions, for instance on the unit sphere, dual Toeplitz operators
might behave quite differently and, therefore, seem to be a worth studying new class of Toeplitz-type
operators. The purpose of this paper is to introduce and start a systematic investigation of dual Toeplitz
operators on the orthogonal complement of the Hardy space of the unit sphere in Cn. In particular, we
establish a corresponding spectral inclusion theorem and a Brown–Halmos type theorem. On the other
hand, we characterize commuting dual Toeplitz operators as well as normal and quasinormal ones.

نوع عمل المنشور
Original Research Paper
مزيد من المنشورات
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