Symmetric points for (strong) Birkhoff orthogonality in von Neumann algebras with applications to preserver problems

Naoto Komuro, Kichi Suke Saito, Ryotaro Tanaka

Research output: Contribution to journalArticle

2 Citations (Scopus)

Abstract

Complete characterizations of left or right symmetric points for (strong) Birkhoff orthogonality in von Neumann algebras and abelian unital C-algebras are given. As an application, we show that every linear strong Birkhoff orthogonality preserver between von Neumann algebras is an algebraic ⁎-isomorphism.

Original languageEnglish
Pages (from-to)1109-1131
Number of pages23
JournalJournal of Mathematical Analysis and Applications
Volume463
Issue number2
DOIs
Publication statusPublished - 15 Jul 2018

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Keywords

  • (Strong) Birkhoff orthogonality
  • Linear preserver
  • Symmetric point
  • von Neumann algebra

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