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Geometric nonlinear classification of Hilbert \(C^*\)-modules based on strong Birkhoff–James orthogonality

  • Ljiljana Arambašić,
  • Alexander Guterman,
  • Bojan Kuzma,
  • Rajna Rajić,
  • Ryotaro Tanaka,
  • Svetlana Zhilina

摘要

We aim to classify Hilbert \(C^*\) 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.