Diameter of the BJ-orthograph in finite dimensional C^*-algebras

2024/02/15 by Srdjan Stefanović, Stefanović, Srdjan
Mathematics · #Advanced Operator Algebra Research #FOS: Mathematics #Functional Analysis (math.FA) #Mathematical Analysis and Transform Methods #Operator Algebras (math.OA) #Spectral Theory in Mathematical Physics

paper · pdf · doi:10.48550/arxiv.2402.09640

openalex publication_date 2024/02/15 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We determine the exact diameter of the orthograph related to mutual strong Birkhoff-James orthogonality in arbitrary finite dimensional C^*-algebra. Additionally, we will estimate the distance between vertices in an arbitrary C^*-algebra that can be represented as a direct sum.

Related

• Isolated vertices and diameter of the BJ-orthograph in C^*-algebras
• Numerical radius orthogonality in C^*-algebras
• Birkhoff-James classification of finite-dimensional C^*-algebras
• Best approximations, distance formulas and orthogonality in C*-algebras
• Isomorphisms of Birkhoff-James orthogonality on finite-dimensional C^*-algebra