报告题目：Non-commutative Clarkson–McCarthy Inequalities for -Tuples of Operators

报 告 人：高福根副教授 河南师范大学

报告时间：2022年5月24日 10:30-11:30

报告地点：腾讯会议 ID：629 669 035

主办单位：金沙集团wwW3354CC

报告摘要： The classical inequalities of Clarkson for the Lebesgue space  and their non-commutative analogues for the Schatten trace ideals   play an important role in analysis, operator theory and mathematical physics.  In this talk, we introduce the development of Clarkson Inequalities and obtain extensions of these inequalities for -Tuples of operators by employing various techniques such as convexity and concavity of certain functions, including the power functions. Moreover, we get some norm inequalities for partitioned operators and for Cartesian decomposition of operators. At the same time，we obtain some norm inequalities involving convex and concave functions, which are the generalizations of the classical Clarkson inequalities.

报告人简介：高福根，河南师范大学副教授，数学与信息科学学院副院长。2011年博士毕业于同济大学，主要从事算子代数和算子不等式的相关研究，主持承担国家自然科学基金项目2项、教育部科学技术研究重点项目1项，河南省高校重点科研项目3项，在Banach J. Math. Anal., Linear and Multilinear Algebra 和 Results in Math.等期刊发表论文20余篇。河南省优秀硕士学位论文指导教师，河南省研究生教育优质课程、河南省研究生精品在线课程和河南省一流本科课程负责人。