算子数值域的内点

窦艳妮 , 李陈心 , 李荣 , 杜鸿科

doi:10.13371/j.cnki.chin.q.j.m.2015.04.016

数学季刊 >

2015 , Vol. 30 >Issue 4: 624 - 632

DOI: https://doi.org/10.13371/j.cnki.chin.q.j.m.2015.04.016

算子数值域的内点

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College of Mathematics and Information Science, Shaanxi Normal University

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.

收稿日期: 2014-04-13

网络出版日期: 2020-11-19

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)；

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The Interior of Numerical Ranges of Operators

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College of Mathematics and Information Science, Shaanxi Normal University

Received date: 2014-04-13

Online published: 2020-11-19

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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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

本文引用格式

窦艳妮 , 李陈心 , 李荣 , 杜鸿科 . 算子数值域的内点[J]. 数学季刊, 2015 , 30(4) : 624 -632 . DOI: 10.13371/j.cnki.chin.q.j.m.2015.04.016

Abstract

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

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