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arXiv · 2610.33422

Orthograph related to mutual (strong) numerical radius orthogonality on operator algebra

Shaoxing Sun·Jinchuan Hou·Xiaofei Qi
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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.

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Shaoxing Sun, Jinchuan Hou, Xiaofei Qi. 2026-10-24. Orthograph related to mutual (strong) numerical radius orthogonality on operator algebra. https://arxiv.org/abs/2610.33422

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