A central notion in Functional Analysis

：Matias Raja（西班牙穆尔西亚大学）
：2025-01-15 15:00
：海韵园实验楼S102报告厅

报告人：Matias Raja（西班牙穆尔西亚大学）

时  间：2025年1月15日15:00

地  点：海韵园实验楼S102

内容摘要:

This talk is devoted to super weak compactness (SWC for short, either the name or the adjetive). We claim that SWC and related notions are not artificious, rather SWC is a property that has been somehow hidden since the beginnings of Banach space theory. It is worth noting that a few particular manifestations of SWC have already received some uneven attention, namely: super-reflexive Banach spaces, super weakly compact operators and uniformly weakly convergence. We will make a tour around SWC covering the history, the properties and, overall, the applications, that will reveal the transversality of this notion in Functional Analysis: geometry of Banach spaces, operator theory, optimization, approximation, ergodic and fixed point theory, non-separable theory and general topology. We will also discuss some possible new lines of research and open problems.

个人简介：

Matias Raja，西班牙穆尔西亚大学教授。主要从事泛函分析及其应用方面的工作，并在一般拓扑学、集合论和凸分析方面有深入研究。他开发了再赋范的全新技术，由此给出了各种范数特征的精确刻画，建立了一系列范数的定量化特征，也给出凸集和凸函数的一些定量化特征，特别研究了诸如Namioka-Phelps、超弱紧等几类紧性集合，已在 Adv.Math.、J. Funct. Anal.、Israel J Math.等国际期刊发表论文40多篇。

 

联系人：程庆进