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

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.

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Veröffentlicht in:	Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A, Matemáticas Físicas y Naturales. Serie A, Matemáticas, 2024-10, Vol.118 (4), Article 151
Hauptverfasser:	Arambašić, Ljiljana, Guterman, Alexander, Kuzma, Bojan, Rajić, Rajna, Tanaka, Ryotaro, Zhilina, Svetlana
Format:	Artikel
Sprache:	eng
Schlagworte:	Applications of Mathematics Mathematical and Computational Physics Mathematics Mathematics and Statistics Original Paper Theoretical
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Zusammenfassung:	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.
ISSN:	1578-7303 1579-1505
DOI:	10.1007/s13398-024-01633-9