The Interior of Numerical Ranges of Operators

DOU Yan-ni, LI Chen-xin, LI Rong, DU Hong-ke

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

Chinese Quarterly Journal of Mathematics >

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

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

The Interior of Numerical Ranges of Operators

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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.

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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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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DOU Yan-ni, LI Chen-xin, LI Rong, DU Hong-ke . The Interior of Numerical Ranges of Operators[J]. Chinese Quarterly Journal of Mathematics, 2015 , 30(4) : 624 -632 . DOI: 10.13371/j.cnki.chin.q.j.m.2015.04.016

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