A nonlinear characterization of type I factors based on strong Birkhoff–James orthogonality

Ryotaro Tanaka

doi:10.1007/s43034-022-00176-7

A nonlinear characterization of type I factors based on strong Birkhoff–James orthogonality

Ryotaro Tanaka

Katsushika Division, Institute of Arts and Sciences

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

Abstract

A nonlinear characterization of type I factors among von Neumann algebras based on strong Birkhoff–James orthogonality is given. As an application, it is shown that if a von Neumann algebra is isomorphic to a type I factor with respect to the structure of strong Birkhoff–James orthogonality, then they are ∗ -isomorphic as von Neumann algebras.

Original language	English
Article number	29
Journal	Annals of Functional Analysis
Volume	13
Issue number	2
DOIs	https://doi.org/10.1007/s43034-022-00176-7
Publication status	Published - Apr 2022

Keywords

Nonlinear classification
Strong Birkhoff–James orthogonality
Type I factor
von Neumann algebra

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10.1007/s43034-022-00176-7

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title = "A nonlinear characterization of type I factors based on strong Birkhoff–James orthogonality",

abstract = "A nonlinear characterization of type I factors among von Neumann algebras based on strong Birkhoff–James orthogonality is given. As an application, it is shown that if a von Neumann algebra is isomorphic to a type I factor with respect to the structure of strong Birkhoff–James orthogonality, then they are ∗ -isomorphic as von Neumann algebras.",

keywords = "Nonlinear classification, Strong Birkhoff–James orthogonality, Type I factor, von Neumann algebra",

author = "Ryotaro Tanaka",

note = "Funding Information: This work was supported by JSPS KAKENHI Grant number JP19K14561. Publisher Copyright: {\textcopyright} 2022, Tusi Mathematical Research Group (TMRG).",

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A nonlinear characterization of type I factors based on strong Birkhoff–James orthogonality

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Keywords

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