报告名称:Some inequalities for the numerical radius of Hilbert space operators
报告专家:高福根 教授
专家所在单位:河南师范大学
报告时间:2024年12月1日 10:00
报告地点: 数统学院 201
专家简介:
高福根,河南师范大学教授,博士生导师,河南省教育厅学术技术带头人,主要从事泛函不等式和算子理论研究,先后主持承担国家自然科学基金项目和教育部科学技术研究重点项目、河南省科技攻关项目等省部级及以上项目7项,现主持国家自然科学基金面上项目一项。在Banach J. Math. Anal., Results Math., 和Acta Sci. Math. (Szeged)等杂志发表SCI等论文30余篇。
报告摘要:
Numerical range and numerical radius play an important role in the fields of analysis, operator theory and mathematical physics. In recent years, there are many generalizations about classical numerical range and numerical radius, and many mathematicians have paid considerable attention to the study of these concepts. In this talk, we introduce some refinements and generalizations of existing numerical radius inequalities for Hilbert space operators. Further, we obtain some upper bounds of the numerical radius. We also obtain some numerical radius inequalities for 2 × 2 operator matrices which improve on some existing results.