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Article Dans Une Revue Linear and Multilinear Algebra Année : 2020

Harnack parts for some truncated shifts

Résumé

The purpose of this paper is to analysis the Harnack part of some truncated shifts whose ρ-numerical radius equal one in the finite dimensional case. As pointed out in Theorem 1.17 [12], a key point is to describe the null spaces of the ρ-operatorial kernel of these truncated shifts. We establish two fundamental results in this direction and some applications are also given.
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Dates et versions

hal-02397732 , version 1 (06-12-2019)

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Gilles Cassier, Mohammed Benharrat. Harnack parts for some truncated shifts. Linear and Multilinear Algebra, inPress, ISSN: 0308-1087 (Print) 1563-5139 (Online) Journal homepage: https://www.tandfonline.com/loi/glma20, ⟨10.1080/03081087.2020.1750549⟩. ⟨hal-02397732⟩
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