The norm attainment problem for functions of projections

Albrecht Böttcher, Ilya M. Spitkovsky

Research output: Contribution to journalArticlepeer-review


The paper is concerned with the problem of identifying the norm attaining operators in the von Neumann algebra generated by two orthogonal projections on a Hilbert space. Every skew projection on that Hilbert space is contained in such an algebra and hence the results of the paper also describe functions of skew projections and their adjoints that attain the norm.

Original languageEnglish (US)
Pages (from-to)397-403
Number of pages7
JournalArchiv der Mathematik
Issue number4
StatePublished - Oct 2021


  • Norm attainment
  • Skew projection
  • Two orthogonal projections

ASJC Scopus subject areas

  • General Mathematics


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