报 告 人：孙龙发（华北电力大学）

时 间：2024年1月25日16:00

地 点：海韵园数理大楼686会议室

内容摘要:

In this talk, we will introduce some recent results of metric preserving maps on Banach spaces. We first present some results about Hyers-Ulam stability of perturbed isometries or perturbed norm-additive maps defined on the positive cones of ordered Banach spaces or the whole space. Secondly, we give a Mazur-Ulam type representation for the maps which preserves equality of phase-distance. At the end, we introduce some new development about the extension problem of isometries or norm-additive maps between the positive unit spheres.

个人简介：

孙龙发，华北电力大学数理系讲师，主要从事Banach空间理论及等距理论的研究。在Results Math., J. Math. Anal. Appl., Acta Math. Sin.(Engl. Ser.) 等期刊发表论文多篇。主持国家自然科学基金、河北省自然科学基金各一项。