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PreprintarXiv licencearXiv

The 2-Norm Distance on the Reflexive Lattice Generated by a Double Triangle Lattice of Projections

Abstract

Using operator-valued subordination, we derive a formula for the $2$-norm distance on reflexive lattices generated by double triangles of projections under freeness assumptions on their graph coefficients, and provide explicit evaluations in both the scalar and free-projection cases.

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BibTeX
@misc{yuan20262norm,
  title = {{The 2-Norm Distance on the Reflexive Lattice Generated by a Double Triangle Lattice of Projections}},
  author = {Wei Yuan},
  howpublished = {arXiv},
  year = {2026},
  month = sep,
  doi = {10.48550/arxiv.2609.25871},
  eprint = {2609.25871},
  archivePrefix = {arXiv},
  url = {https://arxiv.org/abs/2609.25871},
}
RIS
TY  - UNPB
TI  - The 2-Norm Distance on the Reflexive Lattice Generated by a Double Triangle Lattice of Projections
AU  - Wei Yuan
PY  - 2026
DA  - 2026/09/22
PB  - arXiv
DO  - 10.48550/arxiv.2609.25871
UR  - https://arxiv.org/abs/2609.25871
AB  - Using operator-valued subordination, we derive a formula for the $2$-norm distance on reflexive lattices generated by double triangles of projections under freeness assumptions on their graph coefficients, and provide explicit evaluations in both the scalar and free-projection cases.
ER  -