On polynomials in two projections

Ilya M. Spitkovsky

doi:10.13001/1081-3810.1226

On polynomials in two projections

Ilya M. Spitkovsky

Mathematics

Research output: Contribution to journal › Article › peer-review

Abstract

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.

Original language	English (US)
Pages (from-to)	154-158
Number of pages	5
Journal	Electronic Journal of Linear Algebra
Volume	15
DOIs	https://doi.org/10.13001/1081-3810.1226
State	Published - 2006

Keywords

Orthogonal projections
Polynomial equations

ASJC Scopus subject areas

Algebra and Number Theory

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10.13001/1081-3810.1226

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title = "On polynomials in two projections",

abstract = "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.",

keywords = "Orthogonal projections, Polynomial equations",

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year = "2006",

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KW - Polynomial equations

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JO - Electronic Journal of Linear Algebra

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On polynomials in two projections

Abstract

Keywords

ASJC Scopus subject areas

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