Chinese Quarterly Journal of Mathematics ›› 2015, Vol. 30 ›› Issue (4): 624-632.doi: 10.13371/j.cnki.chin.q.j.m.2015.04.016

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The Interior of Numerical Ranges of Operators

  

  1. College of Mathematics and Information Science, Shaanxi Normal University
  • Received:2014-04-13 Online:2015-12-30 Published:2020-11-19
  • About author:DOU Yan-ni(1978-), female, native of Xi'an, Shaanxi, an associate professor of Shaanxi Normal University, Ph.D., engages in operator theory and operator algebra; DU Hong-ke(1942-), male, native of Xi'an, Shaanxi, a professor of Shaanxi Normal University, Ph.D. adviser, engages in operator theory and operator algebra.
  • Supported by:
    Supported by the National Natural Science Foundation of China(11571211,11301318,11171197,11471200)； Supported by the Fundamental Research Funds for the Central Universities(GK201301007)；

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Abstract: In this note, some properties of the interior of numerical ranges of operators are established, and an alternative proof of Embry’s theorem associated with the interior of a numerical ranges of an operator is given(see [3]). 

Key words: numerical range, interior of numerical range, boundary of numerical range

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