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arXiv:2312.14319 [math.FA]AbstractReferencesReviewsResources

Sum of $g-$frames in Hilbert $C^{\ast}-$modules

Hafida Massit, Abdelilah Karara, Najib Khachiaa

Published 2023-12-21Version 1

In this paper, we establish some results regarding the stability of a $g-$frames for Hilbert $ C^{\ast}- $modules under various types of perturbations and we provide new conditions under which the sum of a $g-$frame and a $g-$Bessel sequence is a $g-$frame for a Hilbert $C^{\ast}- $modules $ \mathcal{H} $.

Categories: math.FA
Subjects: 42C15, 41A58
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