کد مقاله | کد نشریه | سال انتشار | مقاله انگلیسی | نسخه تمام متن |
---|---|---|---|---|
8906132 | 1634014 | 2017 | 9 صفحه PDF | دانلود رایگان |
عنوان انگلیسی مقاله ISI
Spectral homomorphisms on a locally convex algebra Cb(X)
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موضوعات مرتبط
مهندسی و علوم پایه
ریاضیات
ریاضیات (عمومی)
پیش نمایش صفحه اول مقاله
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چکیده انگلیسی
Let X be a completely regular Hausdorff space and Bo be the Ï-algebra of Borel sets in X. Then the space Cb(X) (resp. B(Bo)) of all bounded continuous (resp. bounded Bo-measurable) complex functions on X, equipped with the natural strict topology β is a locally convex algebra with the jointly continuous multiplication. It is shown that every (β,ξ)-continuous homomorphism from Cb(X) to a complex sequentially complete locally convex algebra (A,ξ) that maps 1X to a unit 1 in A is a spectral homomorphism for a unique spectral measure m:BoâA. As an application, we study continuous algebra homomorphisms from (Cb(X),β) to the algebra L(F) of all bounded linear operators on a Banach space F, equipped with the strong operator topology.
ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Indagationes Mathematicae - Volume 28, Issue 6, December 2017, Pages 1157-1164
Journal: Indagationes Mathematicae - Volume 28, Issue 6, December 2017, Pages 1157-1164
نویسندگان
Marian Nowak,