کد مقاله کد نشریه سال انتشار مقاله انگلیسی نسخه تمام متن
4598947 1631113 2015 20 صفحه PDF دانلود رایگان
عنوان انگلیسی مقاله ISI
Hyper-ideals of multilinear operators
ترجمه فارسی عنوان
بیش از حد آرمان از اپراتورهای چند خطی
موضوعات مرتبط
مهندسی و علوم پایه ریاضیات اعداد جبر و تئوری
چکیده انگلیسی

We introduce and develop the notion of hyper-ideals of multilinear operators between Banach spaces. While the well studied notion of ideals of multilinear operators (multi-ideals) relies on the composition with linear operators, the notion we propose, by considering the composition with multilinear operators, explores more deeply the nonlinear feature of the subject. The results we prove show that, although more restrictive a priori, hyper-ideals enjoy nice general properties and their theory is rich enough to provide distinguished examples in every situation where the corresponding multi-ideal fails to be a hyper-ideal.

ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Linear Algebra and its Applications - Volume 482, 1 October 2015, Pages 1–20
نویسندگان
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