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JOURNALS // Zhurnal Vychislitel'noi Matematiki i Matematicheskoi Fiziki // Archive

Zh. Vychisl. Mat. Mat. Fiz., 2015 Volume 55, Number 2, Pages 189–192 (Mi zvmmf10148)

This article is cited in 2 papers

Property of polynomials in two projectors

A. M. Vetoshkin

Faculty of Electronics and Systems Engineering, Moscow State Forest University, Pervaya Institutskaya ul., 1, Mytishchi-5, Moscow oblast, 141005, Russia

Abstract: It is proved that a polynomial in two projectors vanishes for all pairs of projectors only if all the coefficients of this polynomial are equal to zero.

Key words: projector, orthoprojector, polynomial, similarity, block triangular form of matrices.

UDC: 519.61

Received: 08.04.2014
Revised: 23.06.2014

DOI: 10.7868/S0044466915020209


 English version:
Computational Mathematics and Mathematical Physics, 2015, 55:2, 179–182

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© Steklov Math. Inst. of RAS, 2024