- Hacettepe Journal of Mathematics and Statistics
- Vol: 49 Issue: 4
- Eigenvalues and eigenvectors for a $G$-frame operator
Eigenvalues and eigenvectors for a $G$-frame operator
Authors : Azam Yousefzadeheyni, Mohammad Reza Abdollahpour
Pages : 1295-1302
Doi:10.15672/hujms.667404
View : 10 | Download : 5
Publication Date : 2020-08-06
Article Type : Research
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 $H$. *************************************************************************************************************** ***************************************************************************************************************Keywords : Eigenvalue, eigenvector, g-frame, g-frame operator, tight g-frame