Linear transformations preserving the Grassmannian over script M sign n(Z+)

Le Roy B. Beasley; Alexander E. Guterman; Sang Gu Lee; Seok Zun Song

doi:10.1016/j.laa.2003.08.018

Linear transformations preserving the Grassmannian over script M sign _n(Z₊)

Le Roy B. Beasley, Alexander E. Guterman, Sang Gu Lee, Seok Zun Song

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

3 Scopus citations

Abstract

We classify linear preservers of the Grassmannian for matrices over non-negative integers, namely, linear operators that preserve the set of triples of matrices from script M sign_n(Z₊) satisfying the conditionXYZ+ZYX=YXZ+ZXY

Original language	English
Pages (from-to)	39-46
Number of pages	8
Journal	Linear Algebra and Its Applications
Volume	393
Issue number	1-3
DOIs	https://doi.org/10.1016/j.laa.2003.08.018
State	Published - 1 Dec 2004
Externally published	Yes

Bibliographical note

Funding Information:
The work of the first and the fourth authors was partially supported by Korea Research Foundation Grant KRF-2002-042-C00001, the work of the second and the third author was partially supported by Com2MaC-KOSEF and Korea Research Foundation Grant KRF-2000-015-DP0005. The second author was also partially supported by the Russian Foundation for Basic Researches. ∗ Corresponding author. E-mail addresses: [email protected] (L.B. Beasley), [email protected] (A.E. Gu-terman), [email protected] (S.-G. Lee), [email protected] (S.-Z. Song).

Keywords

Grassmannian
Linear preservers

Access to Document

10.1016/j.laa.2003.08.018

Cite this

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title = "Linear transformations preserving the Grassmannian over script M sign n(Z+)",

abstract = "We classify linear preservers of the Grassmannian for matrices over non-negative integers, namely, linear operators that preserve the set of triples of matrices from script M signn(Z+) satisfying the conditionXYZ+ZYX=YXZ+ZXY",

keywords = "Grassmannian, Linear preservers",

author = "Beasley, {Le Roy B.} and Guterman, {Alexander E.} and Lee, {Sang Gu} and Song, {Seok Zun}",

note = "Funding Information: The work of the first and the fourth authors was partially supported by Korea Research Foundation Grant KRF-2002-042-C00001, the work of the second and the third author was partially supported by Com2MaC-KOSEF and Korea Research Foundation Grant KRF-2000-015-DP0005. The second author was also partially supported by the Russian Foundation for Basic Researches. ∗ Corresponding author. E-mail addresses: [email protected] (L.B. Beasley), [email protected] (A.E. Gu-terman), [email protected] (S.-G. Lee), [email protected] (S.-Z. Song).",

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AU - Guterman, Alexander E.

AU - Lee, Sang Gu

AU - Song, Seok Zun

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