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:https://doi.org/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

Bar-Ilan University

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

Keywords

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

All Science Journal Classification (ASJC) codes

Analysis
Algebra and Number Theory
Geometry and Topology
Computational Mathematics
Applied Mathematics

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https://doi.org/10.1007/s13398-024-01633-9

Cite this

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

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.",

keywords = "05C63, C-algebra, Digraph, Hilbert module, Orthogonality, Primary 46L08, Secondary 46L05",

author = "Ljiljana Aramba{\v s}i{\'c} and Alexander Guterman and Bojan Kuzma and Rajna Raji{\'c} and Ryotaro Tanaka and Svetlana Zhilina",

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year = "2024",

month = oct,

doi = "https://doi.org/10.1007/s13398-024-01633-9",

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journal = "Revista de la Real Academia de Ciencias Exactas, Fisicas y Naturales - Serie A: Matematicas",

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T1 - Geometric nonlinear classification of Hilbert C∗-modules based on strong Birkhoff–James orthogonality

AU - Arambašić, Ljiljana

AU - Guterman, Alexander

AU - Kuzma, Bojan

AU - Rajić, Rajna

AU - Tanaka, Ryotaro

AU - Zhilina, Svetlana

N1 - Publisher Copyright: © The Author(s) under exclusive licence to The Royal Academy of Sciences, Madrid 2024.

PY - 2024/10

Y1 - 2024/10

N2 - 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.

AB - 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.

KW - 05C63

KW - C-algebra

KW - Digraph

KW - Hilbert module

KW - Orthogonality

KW - Primary 46L08

KW - Secondary 46L05

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U2 - https://doi.org/10.1007/s13398-024-01633-9

DO - https://doi.org/10.1007/s13398-024-01633-9

M3 - مقالة

SN - 1578-7303

VL - 118

JO - Revista de la Real Academia de Ciencias Exactas, Fisicas y Naturales - Serie A: Matematicas

JF - Revista de la Real Academia de Ciencias Exactas, Fisicas y Naturales - Serie A: Matematicas

IS - 4

M1 - 151

ER -

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

Abstract

Keywords

All Science Journal Classification (ASJC) codes

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