کد مقاله کد نشریه سال انتشار مقاله انگلیسی نسخه تمام متن
5777852 1633051 2017 13 صفحه PDF دانلود رایگان
عنوان انگلیسی مقاله ISI
A Gelfand-Naimark type theorem
ترجمه فارسی عنوان
یک قضیه نوع گلفاند-نایمارک
موضوعات مرتبط
مهندسی و علوم پایه ریاضیات هندسه و توپولوژی
چکیده انگلیسی
Let X be a completely regular space. For a non-vanishing self-adjoint Banach subalgebra H of CB(X) which has local units we construct the spectrum sp(H) of H as an open subspace of the Stone-Čech compactification of X which contains X as a dense subspace. The construction of sp(H) is simple. This enables us to study certain properties of sp(H), among them are various compactness and connectedness properties. In particular, we find necessary and sufficient conditions in terms of either H or X under which sp(H) is connected, locally connected and pseudocompact, strongly zero-dimensional, basically disconnected, extremally disconnected, or an F-space.
ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Topology and its Applications - Volume 228, 1 September 2017, Pages 145-157
نویسندگان
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