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arXiv · 1912.03913

Harnack parts for some truncated shifts

Gilles Cassier·Mohammed Benharrat
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Abstract

The purpose of this paper is to analysis the Harnack part of some truncated shifts whose $\rho$-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 $\rho$-operatorial kernel of these truncated shifts. We establish two fundamental results in this direction and some applications are also given.

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Gilles Cassier, Mohammed Benharrat. 2019-12-09. Harnack parts for some truncated shifts. https://arxiv.org/abs/1912.03913

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