Eigenvalues and eigenvectors for a $G$-frame operator

Authors : Azam YOUSEFZADEHEYNİ, Mohammad Reza ABDOLLAHPOUR

Pages : 1295-1302

Doi:10.15672/hujms.667404

View : 25 | Download : 10

Publication Date : 2020-08-06

Article Type : Research Paper

Abstract :In this paper, we investigate eigenvalues and eigenvectors of the $g$-frame operator of $\{\Lambda_jP\in Binsert ignore into journalissuearticles values(K,H_j);:j\in\mathbb{J}\}$, where $\{\Lambda_j\in Binsert ignore into journalissuearticles values(H,H_j);: j\in\mathbb{J}\}$ 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