数学季刊 ›› 2015, Vol. 30 ›› Issue (4): 624-632.doi: 10.13371/j.cnki.chin.q.j.m.2015.04.016

• • 上一篇    

算子数值域的内点

  

  1. College of Mathematics and Information Science, Shaanxi Normal University
  • 收稿日期:2014-04-13 出版日期:2015-12-30 发布日期:2020-11-19
  • 作者简介: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.
  • 基金资助:
    Supported by the National Natural Science Foundation of China(11571211,11301318,11171197,11471200)； Supported by the Fundamental Research Funds for the Central Universities(GK201301007)；

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)；

PDF (PC)

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摘要： 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]). 

关键词: numerical range, interior of numerical range, boundary of numerical range

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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