کد مقاله کد نشریه سال انتشار مقاله انگلیسی نسخه تمام متن
4607591 1337871 2012 29 صفحه PDF دانلود رایگان
عنوان انگلیسی مقاله ISI
Spectral invariance of Besov–Bessel subalgebras
موضوعات مرتبط
مهندسی و علوم پایه ریاضیات آنالیز ریاضی
پیش نمایش صفحه اول مقاله
Spectral invariance of Besov–Bessel subalgebras
چکیده انگلیسی

Using principles of the theory of smoothness spaces, we give systematic constructions of scales of inverse-closed subalgebras of a given Banach algebra with the action of a dd-parameter automorphism group. In particular, we obtain the inverse-closedness of Besov algebras, Bessel potential algebras and approximation algebras of polynomial order in their defining algebra. By a proper choice of the group action, these general results can be applied to algebras of infinite matrices and yield inverse-closed subalgebras of matrices with off-diagonal decay of polynomial order. Besides alternative proofs of known results we obtain new classes of inverse-closed subalgebras of matrices with off-diagonal decay.This work is a continuation and extension of results presented by Gröchenig and Klotz (2010) [23].

ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Journal of Approximation Theory - Volume 164, Issue 2, February 2012, Pages 268–296
نویسندگان
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