报告题目二：Functional equations and functional inequalities in Poisson C*-algebras

主讲人：Chungil Park教授（韩国汉阳大学）

报告邀请人：王咏乔副教授

报告时间：2023年10月8日下午15:40-17:40

报告地点：数理楼221

报告摘要：In this talk, we introduce an additive functional equation in a unital Poisson C*-algebra. Using the direct method and the fixed point method, we prove the Hyers-Ulam stability of the additive functional equation in unital Poisson C*-algebras, and we apply to study Poisson C*-algebra homomorphisms and Poisson C*-algebra derivations in unital Poisson C*-algebras.

Furthermore, we introduce an additive functional inequality in C*-algebra. Using the direct method and the fixed point method, we prove the Hyers-Ulam stability of the additive functional inequality in unital Poisson C*-algebras, and we apply to study Poisson C*-algebra homomorphisms and Poisson C*-algebra derivations in unital Poisson C*-algebras.

主讲人简介：Chungil Park has accomplished his doctoral degree in Mathematics from the University of Maryland and is currently working as a professor at Hanyang University. He is working for several journals such as Journal of Nonlinear Science and Applications and Journal of Computational Analysis and Applications as the associate editors. His main research topics include operator algebras, functional inequalities, functional equations, non-commutative geometry, fixed point theory and fuzzy mappings. He has published a number of academic articles on international journals related to operator algebras, functional inequalities, functional equations, non-commutative geometry, fixed point theory and fuzzy mappings. Within the last twenty years, he has successfully published more than 650 articles on SCI-E journals.