کد مقاله | کد نشریه | سال انتشار | مقاله انگلیسی | نسخه تمام متن |
---|---|---|---|---|
8896680 | 1630595 | 2018 | 38 صفحه PDF | دانلود رایگان |
عنوان انگلیسی مقاله ISI
Crossed-products extensions, of Lp-bounds for amenable actions
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موضوعات مرتبط
مهندسی و علوم پایه
ریاضیات
اعداد جبر و تئوری
پیش نمایش صفحه اول مقاله
![عکس صفحه اول مقاله: Crossed-products extensions, of Lp-bounds for amenable actions Crossed-products extensions, of Lp-bounds for amenable actions](/preview/png/8896680.png)
چکیده انگلیسی
We will extend earlier transference results due to Neuwirth and Ricard from the context of noncommutative Lp-spaces associated with amenable groups to that of noncommutative Lp-spaces associated with crossed-products of amenable actions. Namely, if m:GâC is a completely bounded Fourier multiplier on Lp, then it extends to the crossed-product with similar bounds provided that the action θ is amenable and trace-preserving. Furthermore, our construction also allows to extend G-equivariant completely bounded operators acting on the space part to the crossed-product provided that the generalized Følner sets of the action θ satisfy certain accretivity property. As a corollary we obtain stability results for maximal Lp-bounds over crossed products. We derive, using that stability results, an application to the boundedness of smooth multipliers in the Lp-spaces of group algebras.
ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Journal of Functional Analysis - Volume 274, Issue 10, 15 May 2018, Pages 2846-2883
Journal: Journal of Functional Analysis - Volume 274, Issue 10, 15 May 2018, Pages 2846-2883
نویسندگان
Adrián M. González-Pérez,