کد مقاله | کد نشریه | سال انتشار | مقاله انگلیسی | نسخه تمام متن |
---|---|---|---|---|
4672735 | 1413746 | 2016 | 13 صفحه PDF | دانلود رایگان |
عنوان انگلیسی مقاله ISI
Strongly bounded operators on Crc(X,E)Crc(X,E) with the strict topology βσβσ
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کلمات کلیدی
موضوعات مرتبط
مهندسی و علوم پایه
ریاضیات
ریاضیات (عمومی)
پیش نمایش صفحه اول مقاله
![عکس صفحه اول مقاله: Strongly bounded operators on Crc(X,E)Crc(X,E) with the strict topology βσβσ Strongly bounded operators on Crc(X,E)Crc(X,E) with the strict topology βσβσ](/preview/png/4672735.png)
چکیده انگلیسی
Let X be a completely regular Hausdorff space, and E and F be Banach spaces. Let Crc(X,E) be a space of all continuous functions f:X→E such that f(X) is a relatively compact set in E, equipped with the strict topology βσ. We study (βσ,‖⋅‖F)-continuous strongly bounded operators T:Crc(X,E)→F. In particular, we establish the relationships between (βσ,‖⋅‖F)-continuous strongly bounded operators and weakly compact (resp. weakly precompact; unconditionally converging; completely continuous; weakly completely continuous) operators T:Crc(X,E)→F. In particular, it is shown that if E is a Schur space, then the space (Crc(X,E),βσ) has the strict Dunford–Pettis property.
ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Indagationes Mathematicae - Volume 27, Issue 4, September 2016, Pages 972–984
Journal: Indagationes Mathematicae - Volume 27, Issue 4, September 2016, Pages 972–984
نویسندگان
Marian Nowak,