$K-$frames for Super Hilbert Spaces

Najib Khachiaa

$K-$frames for Super Hilbert Spaces

Functional Analysis 2025-01-09 v2

Authors: Najib Khachiaa

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.

Keywords

frame theory operator theory on hilbert spaces

Cite

@article{arxiv.2407.00857,
  title  = {$K-$frames for Super Hilbert Spaces},
  author = {Najib Khachiaa},
  journal= {arXiv preprint arXiv:2407.00857},
  year   = {2025}
}

Related papers

View all related →