Equal-norm Parseval continuous K-frames in Hilbert spaces

Mohamed Rossafi; Hafida Massit

doi:10.56947/amcs.v22.281

Authors

Mohamed Rossafi Department of Mathematics, Faculty of Sciences, Dhar El Mahraz University Sidi Mohamed Ben Abdellah, Morocco
Hafida Massit Department of Mathematics, Faculty of Sciences, University of Ibn Tofail, Morocco

DOI:

https://doi.org/10.56947/amcs.v22.281

Keywords:

continuous K-frame, Parseval frame, K- dual frames

Abstract

In this paper, we present some fundamental results for the Parseval continuous K- frames in Hilbert space and we study some properties of an equal-norm of vectors. Furthermore, we show that a set of K-norm vectors can be extended to become a K-norm of K-frame.

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Equal-norm Parseval continuous K-frames in Hilbert spaces

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