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

Fingerprint

Distance formula
Orthogonal Projection
Symmetry
Involution
Hilbert space
Algebra
Family

Keywords

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

ASJC Scopus subject areas

  • Analysis

Cite this

Spitkovsky, I. (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

A Distance Formula Related to a Family of Projections Orthogonal to Their Symmetries. / Spitkovsky, Ilya.

Operator Theory: Advances and Applications. Springer International Publishing, 2018. p. 371-376 (Operator Theory: Advances and Applications; Vol. 267).

Research output: Chapter in Book/Report/Conference proceedingChapter

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