کد مقاله کد نشریه سال انتشار مقاله انگلیسی نسخه تمام متن
8904051 1633039 2018 12 صفحه PDF دانلود رایگان
عنوان انگلیسی مقاله ISI
On closed non-vanishing ideals in CB(X) II; compactness properties
موضوعات مرتبط
مهندسی و علوم پایه ریاضیات هندسه و توپولوژی
پیش نمایش صفحه اول مقاله
On closed non-vanishing ideals in CB(X) II; compactness properties
چکیده انگلیسی
For a completely regular space X, let CB(X) be the normed algebra of all bounded continuous scalar-valued mappings on X equipped with pointwise addition and multiplication and the supremum norm and let C0(X) be its subalgebra consisting of mappings vanishing at infinity. For a non-vanishing closed ideal H of CB(X) we study properties of its spectrum sp(H) which may be characterized as the unique locally compact (Hausdorff) space Y such that H and C0(Y) are isometrically isomorphic. We concentrate on compactness properties of sp(H) and find necessary and sufficient (algebraic) conditions on H such that the spectrum sp(H) satisfies (topological) properties such as the Lindelöf property, σ-compactness, countable compactness, pseudocompactness and paracompactness.
ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Topology and its Applications - Volume 240, 15 May 2018, Pages 125-136
نویسندگان
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