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

Published 16 Oct 2019 in math.FA | (1910.07243v1)

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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Marzieh Hasannasab

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