Year: 2026
Type: preprint
Abstract: Let $\mathcal{B} (H)$ and $\mathcal{B} _s(H)$ be the algebra of all bounded linear operators on a complex Hilbert space $H$ and the Jordan algebra of all self-adjoint operators in $\mathcal{B} (H)$, respectively. In this paper, the orthographs by (strong) numerical radius orthogonality relation on $\mathcal{B} (H)$ or $\mathcal{B} _s(H)$ is introduced, and then the graph-theoretic properties of these orthographs, such as isolated vertices, connected components and the diameters, are discussed.
Source: arXiv (Cornell University)
Authors: Sun, Shaoxing, Hou, Jinchuan, Qi, Xiaofei
Language: English
Subfield: Mathematical Physics
Field: Mathematics
Domain: Physical Sciences
Open Access status: green
OpenAlex ID: W7223848690