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arXiv · 2407.00857

$K-$frames for Super Hilbert Spaces

Najib Khachiaa
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Abstract

Let $H_1$ and $H_2$ be two Hilbert spaces, $K$ and $L$ be bounded operatrors on $H_1$ and $H_2$ respectively. In this paper we study the relationship between $K$-frames for $H_1$ and $L$-frames for $H_2$ and $K\oplus L$-frames for $H_1\oplus H_2$. The $K\oplus L$-minimal frames and $K\oplus L$-orthonormal bases for $H_1\oplus H_2$ are also studied.

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Najib Khachiaa. 2024-06-30. $K-$frames for Super Hilbert Spaces. https://arxiv.org/abs/2407.00857

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