$\epsilon$-infinite frames for $k$-erasures
نویسندگان
1 Department of Mathematics, Vali-e-Asr University of Rafsanjan, P.O. Box 546, Rafsanjan, Iran.
2 Department of Pure Mathematics, Faculty of Mathematics and Computer, Shahid Bahonar University of Kerman, P.O. Box 76169-14111, Kerman, Iran.
doi
10.30504/jims.2025.452123.1172چکیده
Holmes and Paulsen studied finite frames from the viewpoint of coding theory. In this paper, for given $0<\epsilon\leq1$ and natural number $k$, we introduce $\epsilon$-infinite frames for $k$-erasures in infinite-dimensional separable Hilbert space $\mathcal{H}$ from the of coding theory. Additionally, the perturbation and redundancy of $\epsilon$-infinite frames for $k$-erasures are studied.
