$K$-orthonormal and $K$-Riesz Bases
Journal: Sahand Communications in Mathematical Analysis (Vol.18, No. 1)Publication Date: 2021-02-01
Authors : Ahmad Ahmdi; Asghar Rahimi;
Page : 59-72
Keywords : $K$-frame; Riesz basis; Orthonormal basis; Atomic system;
Abstract
Let $K$ be a bounded operator. $K$-frames are ordinary frames for the range $K$. These frames are a generalization of ordinary frames and are certainly different from these frames. This research introduces a new concept of bases for the range $K$. Here we define the $K$-orthonormal basis and the $K$-Riesz basis, and then we describe their properties. As might be expected, the $K$-bases differ from the ordinary ones mentioned in this article.
Other Latest Articles
- Gabor Dual Frames with Characteristic Function Window
- On Approximation of Some Mixed Functional Equations
- A Note on Some Results for $C$-controlled $K$-Fusion Frames in Hilbert Spaces
- Some Properties of Lebesgue Fuzzy Metric Spaces
- Analysis Of Dispensing Equipments For Topical Gel Formulations For Management Of Oral Potentially Malignant Disorders
Last modified: 2021-11-03 14:31:28