کد مقاله کد نشریه سال انتشار مقاله انگلیسی نسخه تمام متن
6418492 1339337 2014 15 صفحه PDF دانلود رایگان
عنوان انگلیسی مقاله ISI
Hypergroups and invariant complemented subspaces
ترجمه فارسی عنوان
زیر گروه ها و زیرمجموعه های غیر مجاز
موضوعات مرتبط
مهندسی و علوم پایه ریاضیات آنالیز ریاضی
چکیده انگلیسی

Let K be a hypergroup with a Haar measure. The purpose of the present paper is to initiate a systematic approach to the study of the class of invariant complemented subspaces of L∞(K) and C0(K), the class of left translation invariant w⁎-subalgebras of L∞(K) and finally the class of non-zero left translation invariant C⁎-subalgebras of C0(K) in the hypergroup context with the goal of finding some relations between these function spaces. Among other results, we construct two correspondences: one, between closed Weil subhypergroups and certain left translation invariant w⁎-subalgebras of L∞(K), and another, between compact subhypergroups and a specific subclass of the class of left translation invariant C⁎-subalgebras of C0(K). By the help of these two characterizations, we extract some results about invariant complemented subspaces of L∞(K) and C0(K).

ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Journal of Mathematical Analysis and Applications - Volume 414, Issue 2, 15 June 2014, Pages 641-655
نویسندگان
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