کد مقاله | کد نشریه | سال انتشار | مقاله انگلیسی | نسخه تمام متن |
---|---|---|---|---|
4590359 | 1334951 | 2013 | 22 صفحه PDF | دانلود رایگان |
عنوان انگلیسی مقاله ISI
Fixed point composition and Toeplitz-composition Câ-algebras
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کلمات کلیدی
موضوعات مرتبط
مهندسی و علوم پایه
ریاضیات
اعداد جبر و تئوری
پیش نمایش صفحه اول مقاله
![عکس صفحه اول مقاله: Fixed point composition and Toeplitz-composition Câ-algebras Fixed point composition and Toeplitz-composition Câ-algebras](/preview/png/4590359.png)
چکیده انگلیسی
Let Ï be a linear-fractional, non-automorphism self-map of D that fixes ζâT and satisfies Ïâ²(ζ)â 1 and consider the composition operator CÏ acting on the Hardy space H2(D). We determine which linear-fractionally-induced composition operators are contained in the unital Câ-algebra generated by CÏ and the ideal K of compact operators. We apply these results to show that Câ(CÏ,K) and Câ(Fζ), the unital Câ-algebra generated by all composition operators induced by linear-fractional, non-automorphism self-maps of D that fix ζ, are each isomorphic, modulo the ideal of compact operators, to a unitization of a crossed product of C0([0,1]). We compute the K-theory of Câ(CÏ,K) and calculate the essential spectra of a class of operators in this Câ-algebra. We also obtain a full description of the structures, modulo the ideal of compact operators, of the Câ-algebras generated by the unilateral shift Tz and a single linear-fractionally-induced composition operator.
ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Journal of Functional Analysis - Volume 265, Issue 5, 1 September 2013, Pages 743-764
Journal: Journal of Functional Analysis - Volume 265, Issue 5, 1 September 2013, Pages 743-764
نویسندگان
Katie S. Quertermous,