The structure of linear relations in Euclidean spaces

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

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    15 Citations (Scopus)
    17 Downloads (Pure)

    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.

    Original languageEnglish
    Pages (from-to)141-169
    Number of pages29
    JournalLinear Algebra and Its Applications
    Volume397
    DOIs
    Publication statusPublished - 1-Mar-2005

    Keywords

    • linear relation
    • linear space
    • Euclidean space
    • OPERATORS

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