Mathematical Sciences: Banach Spaces, Convexity and Operators

PRCCM001提案摘要09/29/93 02：55提案编号：dms-9311595沙雷克将继续他在Banach空间同构理论方面的研究，主要是“局部”和“有限维”。这将包括对“局部”算子理论中的一些问题的研究。此外，还将研究所开发的技术在概率、凸性理论和科学计算中的一些“衍生”应用。典型的研究主题包括：线性算子的熵数，一般Banach空间上的非平凡线性算子的存在性，随机矩阵的范数，一些经典结果的‘算子’版本，以及一些关于概率论、组合学和凸性的边界问题。*命令=F1=帮助F3=退出F7=向后F8=向前F12=取消

PRCCM001 Proposal Abstract 09/29/93 02:55 Proposal Number: DMS-9311595 Szarek will continue his research in the isomorphic theory of Banach spaces, mostly `local' and `finite dimensional'. This will include a study of some problems in the "local" operator theory. Additionally, some "spin-off" applications of the developed techniques to questions in probability, convexity theory and scientific computations will be investigated. Typical research topics include: entropy numbers of linear operators, existence of nontrivial linear operators on general Banach spaces, norms of random matrices, `operator' versions of some classical results, and some questions on the border of probability, combinatorics and convexity. *** Command === F1=Help F3=Exit F7=Backward F8=Forward F12=Cancel