The structure of linear relations in Euclidean spaces

Adrian Sandovici; Hendrik de Snoo; Henrik Winkler; Adrian Sandovici

doi:10.1016/j.laa.2004.10.008

The structure of linear relations in Euclidean spaces

Adrian Sandovici, Hendrik de Snoo, Henrik Winkler, Adrian Sandovici

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The structure of a linear relation (inultivalued operator) in a Euclidean space is completely determined. A linear relation can be written as a direct sum of three relations of different classes, which are Jordan relations, completely singular relations and multishifts. All three classes of relations are characterized in terms of the spectrum and their chain structure, which leads to a generalization of the classical Jordan canonical form. (C) 2004 Elsevier Inc. All rights reserved.

Originele taal-2	English
Pagina's (van-tot)	141-169
Aantal pagina's	29
Tijdschrift	Linear Algebra and Its Applications
Volume	397
DOI's	https://doi.org/10.1016/j.laa.2004.10.008
Status	Published - 1-mrt.-2005

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abstract = "The structure of a linear relation (inultivalued operator) in a Euclidean space is completely determined. A linear relation can be written as a direct sum of three relations of different classes, which are Jordan relations, completely singular relations and multishifts. All three classes of relations are characterized in terms of the spectrum and their chain structure, which leads to a generalization of the classical Jordan canonical form. (C) 2004 Elsevier Inc. All rights reserved.",

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author = "Adrian Sandovici and {de Snoo}, Hendrik and Henrik Winkler and Adrian Sandovici",

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AU - de Snoo, Hendrik

AU - Winkler, Henrik

AU - Sandovici, Adrian

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AB - The structure of a linear relation (inultivalued operator) in a Euclidean space is completely determined. A linear relation can be written as a direct sum of three relations of different classes, which are Jordan relations, completely singular relations and multishifts. All three classes of relations are characterized in terms of the spectrum and their chain structure, which leads to a generalization of the classical Jordan canonical form. (C) 2004 Elsevier Inc. All rights reserved.

KW - linear relation

KW - linear space

KW - Euclidean space

KW - OPERATORS

U2 - 10.1016/j.laa.2004.10.008

DO - 10.1016/j.laa.2004.10.008

M3 - Article

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VL - 397

SP - 141

EP - 169

JO - Linear Algebra and Its Applications

JF - Linear Algebra and Its Applications

ER -

The structure of linear relations in Euclidean spaces

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