Modular Riesz bases versus Riesz bases in Hilbert $C^*$-Modules
Functional Analysis
2019-10-17 v1
Abstract
In this paper, we give new characterizations of modular Riesz bases in Hilbert -modules. We prove that modular Riesz bases share many properties with Riesz bases in Hilbert spaces. Moreover we show that there are also important differences; for example, there exist exact frames that are not modular Riesz bases.
Keywords
Cite
@article{arxiv.1910.07243,
title = {Modular Riesz bases versus Riesz bases in Hilbert $C^*$-Modules},
author = {Marzieh Hasannasab},
journal= {arXiv preprint arXiv:1910.07243},
year = {2019}
}
Comments
To appear in Asian-European Journal of Mathematics