کد مقاله | کد نشریه | سال انتشار | مقاله انگلیسی | نسخه تمام متن |
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6418492 | 1339337 | 2014 | 15 صفحه PDF | دانلود رایگان |
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 Lâ(K) and C0(K), the class of left translation invariant wâ-subalgebras of Lâ(K) and finally the class of non-zero left translation invariant Câ-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 wâ-subalgebras of Lâ(K), and another, between compact subhypergroups and a specific subclass of the class of left translation invariant Câ-subalgebras of C0(K). By the help of these two characterizations, we extract some results about invariant complemented subspaces of Lâ(K) and C0(K).
Journal: Journal of Mathematical Analysis and Applications - Volume 414, Issue 2, 15 June 2014, Pages 641-655