کد مقاله کد نشریه سال انتشار مقاله انگلیسی نسخه تمام متن
10224248 1701087 2018 16 صفحه PDF دانلود رایگان
عنوان انگلیسی مقاله ISI
Convolution factorability of bilinear maps and integral representations
ترجمه فارسی عنوان
فاکتورپذیری تلفیقی نقشه های بیلیار و نمایه های یکپارچه
موضوعات مرتبط
مهندسی و علوم پایه ریاضیات ریاضیات (عمومی)
چکیده انگلیسی
In this paper we consider a special class of continuous bilinear operators acting in a product of Banach algebras of integrable functions with convolution product. In the literature, these bilinear operators are called 'zero product preserving', and they may be considered as a generalization of Lamperti operators. We prove a factorization theorem for this class, which establishes that each zero product preserving bilinear operator factors through a subalgebra of absolutely integrable functions. We obtain also compactness and summability properties for these operators under the assumption of some classical properties for the range spaces, as the Dunford-Pettis property or the Schur property and we give integral representations by some concavity properties of operators. Finally, we give some applications for integral transforms, and an integral representation for Hilbert-Schmidt operators.
ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Indagationes Mathematicae - Volume 29, Issue 5, October 2018, Pages 1334-1349
نویسندگان
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