کد مقاله | کد نشریه | سال انتشار | مقاله انگلیسی | نسخه تمام متن |
---|---|---|---|---|
6419648 | 1339412 | 2011 | 21 صفحه PDF | دانلود رایگان |
عنوان انگلیسی مقاله ISI
Essential spectra of quasi-parabolic composition operators on Hardy spaces of analytic functions
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موضوعات مرتبط
مهندسی و علوم پایه
ریاضیات
آنالیز ریاضی
پیش نمایش صفحه اول مقاله
چکیده انگلیسی
In this work we study the essential spectra of composition operators on Hardy spaces of analytic functions which might be termed as “quasi-parabolic.” This is the class of composition operators on H2 with symbols whose conjugate with the Cayley transform on the upper half-plane are of the form Ï(z)=z+Ï(z), where ÏâHâ(H) and â(Ï(z))>ϵ>0. We especially examine the case where Ï is discontinuous at infinity. A new method is devised to show that this type of composition operator fall in a C*-algebra of Toeplitz operators and Fourier multipliers. This method enables us to provide new examples of essentially normal composition operators and to calculate their essential spectra.
ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Journal of Mathematical Analysis and Applications - Volume 377, Issue 2, 15 May 2011, Pages 771-791
Journal: Journal of Mathematical Analysis and Applications - Volume 377, Issue 2, 15 May 2011, Pages 771-791
نویسندگان
UÄur Gül,