### Abstract

Conditions are established on a polynomial f in two variables under which the equality f(P_{1}, P_{2}) = 0 for two orthogonal projections P_{1}, P_{2} is possible only if P_{1} and P_{2} commute.

Original language | English (US) |
---|---|

Pages (from-to) | 154-158 |

Number of pages | 5 |

Journal | Electronic Journal of Linear Algebra |

Volume | 15 |

State | Published - May 15 2006 |

### Fingerprint

### Keywords

- Orthogonal projections
- Polynomial equations

### ASJC Scopus subject areas

- Algebra and Number Theory

### Cite this

*Electronic Journal of Linear Algebra*,

*15*, 154-158.

**On polynomials in two projections.** / Spitkovsky, Ilya.

Research output: Contribution to journal › Article

*Electronic Journal of Linear Algebra*, vol. 15, pp. 154-158.

}

TY - JOUR

T1 - On polynomials in two projections

AU - Spitkovsky, Ilya

PY - 2006/5/15

Y1 - 2006/5/15

N2 - Conditions are established on a polynomial f in two variables under which the equality f(P1, P2) = 0 for two orthogonal projections P1, P2 is possible only if P1 and P2 commute.

AB - Conditions are established on a polynomial f in two variables under which the equality f(P1, P2) = 0 for two orthogonal projections P1, P2 is possible only if P1 and P2 commute.

KW - Orthogonal projections

KW - Polynomial equations

UR - http://www.scopus.com/inward/record.url?scp=33646402328&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=33646402328&partnerID=8YFLogxK

M3 - Article

VL - 15

SP - 154

EP - 158

JO - Electronic Journal of Linear Algebra

JF - Electronic Journal of Linear Algebra

SN - 1081-3810

ER -