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PreprintCC BY 4.0arXiv

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

  • Shaoxing Sun
  • Jinchuan Hou
  • Xiaofei Qi
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Abstract

Let ℬ (H) and 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 ℬ (H), respectively. In this paper, the orthographs by (strong) numerical radius orthogonality relation on ℬ (H) or 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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Cite

BibTeXRIS
BibTeX
@misc{sun2026orthograph,
  title = {{Orthograph related to mutual (strong) numerical radius orthogonality on operator algebra}},
  author = {Shaoxing Sun and Jinchuan Hou and Xiaofei Qi},
  howpublished = {arXiv},
  year = {2026},
  month = oct,
  doi = {10.48550/arxiv.2610.33422},
  eprint = {2610.33422},
  archivePrefix = {arXiv},
  url = {https://arxiv.org/abs/2610.33422},
  note = {CC BY 4.0},
}
RIS
TY  - UNPB
TI  - Orthograph related to mutual (strong) numerical radius orthogonality on operator algebra
AU  - Shaoxing Sun
AU  - Jinchuan Hou
AU  - Xiaofei Qi
PY  - 2026
DA  - 2026/10/24
PB  - arXiv
DO  - 10.48550/arxiv.2610.33422
UR  - https://arxiv.org/abs/2610.33422
AB  - Let ℬ (H) and 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 ℬ (H), respectively. In this paper, the orthographs by (strong) numerical radius orthogonality relation on ℬ (H) or 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.
ER  -