On perturbed isometries and phase-isometries between the cones of certain Banach spaces.

活动时间： 04月30日14时30分       

地            点  ： 腾讯会议：265-888-182

讲座内容：

In this talk, westudy the properties of ε-isometries and phase-isometries between the cones of certain Banachspaces. We first show that every standard almost surjective ε-isometries betweenthe positive cones of Lp-spaces、c_0 or C(K)-spaces can be uniformly approximated by a unique additiveisometry   ( the restriction of linearsurjective isometry between the whole spaces). Secondly, we show that every phase-isometry between the positive conesof Lp-spaces is an additive isometry, every phase-isometry between the positive cones of c_0 or C(K)-spaces isactually an isometry and it is additive if the mapping is almost surjective.

主讲人介绍：

孙龙发，华北电力大学数理系讲师，硕士研究生导师。主要从事Banach空间理论以及扰动等距理论的研究。近年来，在Results inMathematics、 Journal of Mathematical Analysis andApplications、Acta Mathematica Sinica-English Series等期刊发表Sci论文10余篇。目前主持国家自然科学基金一项，中央高校科研业务费一项。

发布时间：2022-04-23 20:23:34