Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
8897911 | Linear Algebra and its Applications | 2018 | 28 Pages |
Abstract
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.
Related Topics
Physical Sciences and Engineering
Mathematics
Algebra and Number Theory
Authors
Hossein Javanshiri, Mehdi Choubin,