Mathematical Sciences: Banach Spaces, Convexity and Operators

数学科学：Banach 空间、凸性和运算符

• 批准号: 9311595
• 负责人: Stanislaw Szarek
• 金额: $ 6万
• 依托单位: Case Western Reserve University
• 依托单位国家: 美国
• 项目类别: Standard Grant
• 财政年份: 1993
• 资助国家: 美国
• 起止时间: 1993-12-01 至 1996-11-30
• 项目状态: 已结题
• 来源: https://www.nsf.gov/awardsearch/showAward?AWD_ID=9311595&HistoricalAwards=false
• 关键词: Mathematical; Sciences; Banach; Spaces; Convexity

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

Szarek将继续研究Banach空间的同构理论，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，一些“衍生”应用的发展技术的问题，概率论，凸性理论和科学计算将被调查。典型的研究课题包括：线性算子的熵数，一般Banach空间上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，以及关于概率、组合和凸性边界的一些问题。***命令=== F1=帮助F3=退出F7=向后F8=向前F12=取消