کد مقاله کد نشریه سال انتشار مقاله انگلیسی نسخه تمام متن
9495898 1335198 2005 21 صفحه PDF دانلود رایگان
عنوان انگلیسی مقاله ISI
The spectra of composition operators from linear fractional maps acting upon the Dirichlet space
موضوعات مرتبط
مهندسی و علوم پایه ریاضیات اعداد جبر و تئوری
پیش نمایش صفحه اول مقاله
The spectra of composition operators from linear fractional maps acting upon the Dirichlet space
چکیده انگلیسی
Let φ:D→D be a non-constant linear fractional transformation (necessarily of the form φ(z)=az+bcz+d). Let D denote the Dirichlet space of analytic functions. We determine the spectrum of the composition operator Cϕ:D→D defined by Cϕ(f)=f∘φ. Eigenfunctions for the operator Cϕ:H2→H2 frequently do not belong to the space D. However, spectral results for the operator Cϕ:D→D, much like those that have already been demonstrated for the operator Cϕ:H2→H2, are presented in this paper.
ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Journal of Functional Analysis - Volume 220, Issue 1, 1 March 2005, Pages 55-75
نویسندگان
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