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