<p>In this paper, the notion of the joint <i>q</i>-numerical radius is introduced and some upper bounds for the joint <i>q</i>-numerical radius are given. As applications, we get some new upper bounds for the <i>q</i>-numerical radius and joint numerical radius. Characterizations of orthogonality and parallelism about the joint <i>q</i>-numerical radius are also given.</p>

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Some bounds and characterizations of the joint q-numerical radius

  • Zhenquan Wang,
  • Liguang Wang

摘要

In this paper, the notion of the joint q-numerical radius is introduced and some upper bounds for the joint q-numerical radius are given. As applications, we get some new upper bounds for the q-numerical radius and joint numerical radius. Characterizations of orthogonality and parallelism about the joint q-numerical radius are also given.