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arXiv · 1910.07243

Modular Riesz bases versus Riesz bases in Hilbert $C^*$-Modules

Marzieh Hasannasab
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Abstract

In this paper, we give new characterizations of modular Riesz bases in Hilbert $C^*$-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.

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BibTeXRIS

Marzieh Hasannasab. 2019-10-16. Modular Riesz bases versus Riesz bases in Hilbert $C^*$-Modules. https://arxiv.org/abs/1910.07243

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