ERRATUM TO “A SURJECTIVITY PROBLEM FOR 3 BY 3 MATRICES, OPERATOR AND MATRICES, 13, NO. 1, (2019) 111–119”

Constantin Buşe; Donal O’regan; Olivia Saierli

doi:10.7153/oam-2021-15-98

ERRATUM TO “A SURJECTIVITY PROBLEM FOR 3 BY 3 MATRICES, OPERATOR AND MATRICES, 13, NO. 1, (2019) 111–119”

Constantin Buşe
, Donal O’regan
, Olivia Saierli

Mathematics

Research output: Contribution to a Journal (Peer & Non Peer) › Comment/debate

Abstract

Let P be a complex polynomial. We prove that the associated polynomial matrixvalued function ˜P is surjective if for each λ ∈ C the polynomial P − λ has at least a simple zero and it is not surjective if it does not have the double zero property.

Original language	English
Article number	15-98
Pages (from-to)	1559-1561
Number of pages	3
Journal	Operators and Matrices
Volume	15
Issue number	4
DOIs	https://doi.org/10.7153/oam-2021-15-98
Publication status	Published - Dec 2021

Keywords

Functional calculus with matrices
Global problems concerning polynomials of matrices
Natural powers of matrices

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10.7153/oam-2021-15-98

Cite this

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title = "ERRATUM TO “A SURJECTIVITY PROBLEM FOR 3 BY 3 MATRICES, OPERATOR AND MATRICES, 13, NO. 1, (2019) 111–119”",

abstract = "Let P be a complex polynomial. We prove that the associated polynomial matrixvalued function ˜P is surjective if for each λ ∈ C the polynomial P − λ has at least a simple zero and it is not surjective if it does not have the double zero property.",

keywords = "Functional calculus with matrices, Global problems concerning polynomials of matrices, Natural powers of matrices",

author = "Constantin Bu{\c s}e and Donal O{\textquoteright}regan and Olivia Saierli",

year = "2021",

month = dec,

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language = "English",

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AU - Buşe, Constantin

AU - O’regan, Donal

AU - Saierli, Olivia

PY - 2021/12

Y1 - 2021/12

N2 - Let P be a complex polynomial. We prove that the associated polynomial matrixvalued function ˜P is surjective if for each λ ∈ C the polynomial P − λ has at least a simple zero and it is not surjective if it does not have the double zero property.

AB - Let P be a complex polynomial. We prove that the associated polynomial matrixvalued function ˜P is surjective if for each λ ∈ C the polynomial P − λ has at least a simple zero and it is not surjective if it does not have the double zero property.

KW - Functional calculus with matrices

KW - Global problems concerning polynomials of matrices

KW - Natural powers of matrices

UR - https://www.scopus.com/pages/publications/85126460135

U2 - 10.7153/oam-2021-15-98

DO - 10.7153/oam-2021-15-98

M3 - Comment/debate

AN - SCOPUS:85126460135

SN - 1846-3886

VL - 15

SP - 1559

EP - 1561

JO - Operators and Matrices

JF - Operators and Matrices

IS - 4

M1 - 15-98

ER -

ERRATUM TO “A SURJECTIVITY PROBLEM FOR 3 BY 3 MATRICES, OPERATOR AND MATRICES, 13, NO. 1, (2019) 111–119”

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Keywords

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