کد مقاله | کد نشریه | سال انتشار | مقاله انگلیسی | نسخه تمام متن |
---|---|---|---|---|
5773217 | 1631076 | 2017 | 19 صفحه PDF | دانلود رایگان |
عنوان انگلیسی مقاله ISI
Spaces of Ï(p)-nuclear linear and multilinear operators on Banach spaces and their duals
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موضوعات مرتبط
مهندسی و علوم پایه
ریاضیات
اعداد جبر و تئوری
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چکیده انگلیسی
The theory of Ï-summing and Ï-nuclear linear operators on Banach spaces was developed by Pietsch [20, Chapter 23]. Extending the linear case to the range p>1 and generalizing all cases to the multilinear setting, in this paper we introduce the concept of Ï(p)-nuclear linear and multilinear operators. In order to develop the duality theory for the spaces of such operators, we introduce the concept of quasi-Ï(p)-summing linear/multilinear operators and prove Pietsch-type domination theorems for such operators. The main result of the paper shows that, under usual conditions, linear functionals on the space of Ï(p)-nuclear n-linear operators are represented, via the Borel transform, by quasi-Ï(p)-summing n-linear operators. As far as we know, this result is new even in the linear case n=1.
ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Linear Algebra and its Applications - Volume 519, 15 April 2017, Pages 219-237
Journal: Linear Algebra and its Applications - Volume 519, 15 April 2017, Pages 219-237
نویسندگان
Geraldo Botelho, Ximena Mujica,