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

doi:10.1007/s13398-024-01633-9

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

Department of Mathematics

Research output: Contribution to journal › Article › peer-review

Abstract

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.

Original language	English
Article number	151
Journal	Revista de la Real Academia de Ciencias Exactas, Fisicas y Naturales - Serie A: Matematicas
Volume	118
Issue number	4
DOIs	https://doi.org/10.1007/s13398-024-01633-9
State	Published - Oct 2024

Bibliographical note

Publisher Copyright:
© The Author(s) under exclusive licence to The Royal Academy of Sciences, Madrid 2024.

Keywords

05C63
C-algebra
Digraph
Hilbert module
Orthogonality
Primary 46L08
Secondary 46L05

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10.1007/s13398-024-01633-9

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AU - Rajić, Rajna

AU - Tanaka, Ryotaro

AU - Zhilina, Svetlana

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KW - C-algebra

KW - Digraph

KW - Hilbert module

KW - Orthogonality

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

Abstract

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Keywords

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