A Distance Formula Related to a Family of Projections Orthogonal to Their Symmetries

Research output: Chapter in Book/Report/Conference proceedingChapter

Abstract

Let u be a Hermitian involution, and e an orthogonal projection, acting on the same Hilbert space H. We establish the exact formula, in terms of ║eue║, for the distance from e to the set of all orthogonal projections q from the algebra generated by e, u, and such that quq = 0.

Original languageEnglish (US)
Title of host publicationOperator Theory
Subtitle of host publicationAdvances and Applications
PublisherSpringer International Publishing
Pages371-376
Number of pages6
DOIs
StatePublished - Jan 1 2018

Publication series

NameOperator Theory: Advances and Applications
Volume267
ISSN (Print)0255-0156
ISSN (Electronic)2296-4878

Keywords

  • C-algebra
  • Involution
  • Orthogonal projection
  • W-algebra

ASJC Scopus subject areas

  • Analysis

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  • Cite this

    Spitkovsky, I. M. (2018). A Distance Formula Related to a Family of Projections Orthogonal to Their Symmetries. In Operator Theory: Advances and Applications (pp. 371-376). (Operator Theory: Advances and Applications; Vol. 267). Springer International Publishing. https://doi.org/10.1007/978-3-319-72449-2_17