کد مقاله | کد نشریه | سال انتشار | مقاله انگلیسی | نسخه تمام متن |
---|---|---|---|---|
8897911 | 1631050 | 2018 | 28 صفحه PDF | دانلود رایگان |
عنوان انگلیسی مقاله ISI
Multipliers for von Neumann-Schatten Bessel sequences in separable Banach spaces
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کلمات کلیدی
موضوعات مرتبط
مهندسی و علوم پایه
ریاضیات
اعداد جبر و تئوری
پیش نمایش صفحه اول مقاله
![عکس صفحه اول مقاله: Multipliers for von Neumann-Schatten Bessel sequences in separable Banach spaces Multipliers for von Neumann-Schatten Bessel sequences in separable Banach spaces](/preview/png/8897911.png)
چکیده انگلیسی
In this paper we introduce the concept of von Neumann-Schatten Bessel multipliers in separable Banach spaces and obtain some of their properties. We study their behavior when the symbol belongs to âp. Also, we investigate the continuous dependency of Hilbert-Schmidt Bessel multipliers on their parameters. Special attention is devoted to the study of invertible Hilbert-Schmidt frame multipliers which is an extensive class of ordinary frame multipliers and includes g-frame multipliers and fusion frame multipliers as elementary examples. Among other things, the invertibility of Hilbert-Schmidt Riesz multipliers is completely characterized. In particular, we show that all the existing frames in Hilbert spaces is uniquely determined by the set of its dual frames.
ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Linear Algebra and its Applications - Volume 545, 15 May 2018, Pages 108-138
Journal: Linear Algebra and its Applications - Volume 545, 15 May 2018, Pages 108-138
نویسندگان
Hossein Javanshiri, Mehdi Choubin,