کد مقاله کد نشریه سال انتشار مقاله انگلیسی نسخه تمام متن
4615167 1339309 2015 10 صفحه PDF دانلود رایگان
عنوان انگلیسی مقاله ISI
On the essential spectrum of λ-Toeplitz operators over compact Abelian groups
موضوعات مرتبط
مهندسی و علوم پایه ریاضیات آنالیز ریاضی
پیش نمایش صفحه اول مقاله
On the essential spectrum of λ-Toeplitz operators over compact Abelian groups
چکیده انگلیسی
In the recent paper by Mark C. Ho (2014) the notion of a λ-Toeplitz operator on the Hardy space H2(T) over the one-dimensional torus T was introduced and it was shown (under the supplementary condition) that for λ∈T the essential spectrum of such an operator is invariant with respect to the rotation z↦λz; if in addition λ is not of finite order the essential spectrum is circular. In this paper, we generalize these results to the case when T is replaced by an arbitrary compact Abelian group whose dual is totally ordered.
ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Journal of Mathematical Analysis and Applications - Volume 424, Issue 2, 15 April 2015, Pages 1286-1295
نویسندگان
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