Eigenvalues and eigenvectors for a $G$-frame operator

Year 2020, Volume: 49 Issue: 4, 1295 - 1302, 06.08.2020

Azam Yousefzadeheyni Mohammad Reza Abdollahpour

https://doi.org/10.15672/hujms.667404

Abstract

In this paper, we investigate eigenvalues and eigenvectors of the $g$-frame operator of $\{\Lambda_jP\in B(K,H_j):j\in\mathbb{J}\}$, where $\{\Lambda_j\in B(H,H_j): j\in\mathbb{J}\}$ is a $g$-frame for an $N$-dimensional Hilbert space $H$ and $P$ is a rank $k$ orthogonal projection of $H$ onto $K,$ a closed subspace of $H$.

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Keywords

Eigenvalue, eigenvector, g-frame, g-frame operator, tight g-frame

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