Geometric nonlinear classification of Hilbert C∗-modules based on strong Birkhoff–James orthogonality

• Ljiljana Arambašic ^[1] ; Alexander Guterman ^[2] ; Bojan Kuzma ^[3] ; Rajna Rajic ^[1] ; Ryotaro Tanaka ^[4] ; Svetlana Zhilina ^[5]
  1. [1] University of Zagreb

     University of Zagreb

     Croacia

     
  2. [2] Bar-Ilan University

     Bar-Ilan University

     Israel

     
  3. [3] University of Primorska

     University of Primorska

     Eslovenia

     
  4. [4] Tokyo University of Science

     Tokyo University of Science

     Japón

     
  5. [5] Moscow Institute of Physics and Technology

     Moscow Institute of Physics and Technology

     Rusia

     

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• Localización: Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A: Matemáticas ( RACSAM ), ISSN-e 1578-7303, Vol. 118, Nº. 4, 2024
• Idioma: inglés
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• Resumen

  • We aim to classify Hilbert C∗-modules based on nonlinear structure of strong Birkhoff– James orthogonality. We do this by studying purely graph-theoretical properties of a digraph induced by the relation of strong Birkhoff–James orthogonality