### 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 language | English (US) |
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Title of host publication | Operator Theory |

Subtitle of host publication | Advances and Applications |

Publisher | Springer International Publishing |

Pages | 371-376 |

Number of pages | 6 |

DOIs | |

State | Published - Jan 1 2018 |

### Publication series

Name | Operator Theory: Advances and Applications |
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Volume | 267 |

ISSN (Print) | 0255-0156 |

ISSN (Electronic) | 2296-4878 |

### Fingerprint

### Keywords

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

### ASJC Scopus subject areas

- Analysis

### Cite this

*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.

Research output: Chapter in Book/Report/Conference proceeding › Chapter

*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

}

TY - CHAP

T1 - A Distance Formula Related to a Family of Projections Orthogonal to Their Symmetries

AU - Spitkovsky, Ilya

PY - 2018/1/1

Y1 - 2018/1/1

N2 - 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.

AB - 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.

KW - C-algebra

KW - Involution

KW - Orthogonal projection

KW - W-algebra

UR - http://www.scopus.com/inward/record.url?scp=85052396719&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=85052396719&partnerID=8YFLogxK

U2 - 10.1007/978-3-319-72449-2_17

DO - 10.1007/978-3-319-72449-2_17

M3 - Chapter

AN - SCOPUS:85052396719

T3 - Operator Theory: Advances and Applications

SP - 371

EP - 376

BT - Operator Theory

PB - Springer International Publishing

ER -