Work

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

Year: 2026

Type: preprint

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.

Source: arXiv (Cornell University)

DOI: 10.48550/arxiv.2609.25871

Author: Yuan, Wei

Institutions: Chinese Academy of Sciences, Academy of Mathematics and Systems Science, University of Chinese Academy of Sciences

Language: English

Topic: Advanced Operator Algebra Research

Subfield: Mathematical Physics

Field: Mathematics

Domain: Physical Sciences

Open Access status: green

Funder: National Natural Science Foundation of China

Award: G5200299554

OpenAlex ID: W7214074477

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