Bessel type inequalities in Hilbert C*-modules

preprint2009arXivOpen access

Regarding the generalizations of the Bessel inequality in Hilbert spaces which are due to Bombiari and Boas--Bellman, we obtain a version of the Bessel inequality and some generalizations of this inequality in the framework of Hilbert $C^*$ -modules.

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Bessel type inequalities in Hilbert C*-modules

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