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arXiv · 2104.11656

Equal-norm parseval K-frames in Hilbert Spaces

Vahid Sadri·Gholamreza Rahimlou
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Abstract

In this paper, we focus on frames of operators or K-frames on Hilbert spaces in Parseval cases. Since equal-norm tight frames play important roles for robust data transmission, we aim to study this topics on Parseval K-frames. We will show that each finite set of equal-norms of vectors can be extended to an equal-norm K-frame. Also, we present a correspondence between Parseval K-frames and the set of all closed subspaces of a finite Hilbert space. Finally, a construction of equal-norm dual K-frames will be introduced.

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Vahid Sadri, Gholamreza Rahimlou. 2021-04-23. Equal-norm parseval K-frames in Hilbert Spaces. https://arxiv.org/abs/2104.11656

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