学术报告
【学术报告】Some properties of isometries, norm-additive maps and phase-isometries between Banach spaces
编辑:刘梦洁发布时间:2024年01月23日

人:孙龙发(华北电力大学)

间:202412516:00

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。