Hyperbolic forms admit reversible weighted shift determinantal representation

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摘要

Lentzos and Pasley recently showed that a weakly circular symmetric invariant hyperbolic ternary form admits a determinantal representation through a cyclic weighted shift matrix. In this paper, we improve the representing matrix by employing a cyclic weighted shift with reversible weights.

论文关键词：Hyperbolic ternary form,Determinantal representation,Reversible weighted shift,Numerical range

论文评审过程：Received 23 July 2018, Revised 28 June 2019, Accepted 8 July 2019, Available online 17 July 2019, Version of Record 17 July 2019.

论文官网地址：https://doi.org/10.1016/j.amc.2019.124595