The characterization of operators preserving primitivity for matrix k-tuples

Le Roy B. Beasley; Alexander E. Guterman

doi:10.1016/j.laa.2008.06.031

The characterization of operators preserving primitivity for matrix k-tuples

Le Roy B. Beasley, Alexander E. Guterman

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

11 Scopus citations

Abstract

We obtain a complete characterization of surjective additive operators acting on the Cartesian product of several matrix spaces over an antinegative semiring without zero divisors, which map primitive matrix k-tuples to primitive matrix k-tuples.

Original language	English
Pages (from-to)	1762-1777
Number of pages	16
Journal	Linear Algebra and Its Applications
Volume	430
Issue number	7
DOIs	https://doi.org/10.1016/j.laa.2008.06.031
State	Published - 1 Apr 2009
Externally published	Yes

Bibliographical note

Funding Information:
The second author wishes to thank the Grants RFBR 08-01-00693a, NSh-1983.2008.1 and MK-2718.2007.1 for partial financial support. ∗ Corresponding author. E-mail addresses: lbeasley@math.usu.edu (L.B. Beasley), guterman@list.ru (A.E. Guterman).

Keywords

Preservers
Primitive matrix tuples
Semirings

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10.1016/j.laa.2008.06.031

Cite this

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abstract = "We obtain a complete characterization of surjective additive operators acting on the Cartesian product of several matrix spaces over an antinegative semiring without zero divisors, which map primitive matrix k-tuples to primitive matrix k-tuples.",

keywords = "Preservers, Primitive matrix tuples, Semirings",

author = "Beasley, {Le Roy B.} and Guterman, {Alexander E.}",

note = "Funding Information: The second author wishes to thank the Grants RFBR 08-01-00693a, NSh-1983.2008.1 and MK-2718.2007.1 for partial financial support. ∗ Corresponding author. E-mail addresses: lbeasley@math.usu.edu (L.B. Beasley), guterman@list.ru (A.E. Guterman).",

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AU - Beasley, Le Roy B.

AU - Guterman, Alexander E.

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AB - We obtain a complete characterization of surjective additive operators acting on the Cartesian product of several matrix spaces over an antinegative semiring without zero divisors, which map primitive matrix k-tuples to primitive matrix k-tuples.

KW - Preservers

KW - Primitive matrix tuples

KW - Semirings

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IS - 7

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The characterization of operators preserving primitivity for matrix k-tuples

Abstract

Bibliographical note

Keywords

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