کد مقاله | کد نشریه | سال انتشار | مقاله انگلیسی | نسخه تمام متن |
---|---|---|---|---|
4658839 | 1344288 | 2013 | 8 صفحه PDF | دانلود رایگان |
عنوان انگلیسی مقاله ISI
Weakly compact operators and strict topologies
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کلمات کلیدی
موضوعات مرتبط
مهندسی و علوم پایه
ریاضیات
هندسه و توپولوژی
پیش نمایش صفحه اول مقاله
چکیده انگلیسی
Let X be a completely regular Hausdorff space and Cb(X)Cb(X) be the Banach space of all real-valued bounded continuous functions on X, endowed with the uniform norm. It is shown that every weakly compact operator T from Cb(X)Cb(X) to a quasicomplete locally convex Hausdorff space E can be uniquely decomposed as T=T1+T2+T3+T4T=T1+T2+T3+T4, where Tk:Cb(X)→ETk:Cb(X)→E(k=1,2,3,4)(k=1,2,3,4) are weakly compact operators, and T1T1 is tight, T2T2 is purely τ -additive, T3T3 is purely σ -additive and T4T4 is purely finitely additive. Moreover, we derive a generalized Yosida–Hewitt decomposition for E-valued strongly bounded regular Baire measures.
ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Topology and its Applications - Volume 160, Issue 16, 1 October 2013, Pages 2053–2060
Journal: Topology and its Applications - Volume 160, Issue 16, 1 October 2013, Pages 2053–2060
نویسندگان
Marian Nowak,