Geometric Aspects of Operator Space Theory

算子空间理论的几何方面

• 批准号: 0200714
• 负责人: Timur Oikhberg
• 金额: $ 8.7万
• 依托单位: University of California-Irvine
• 依托单位国家: 美国
• 项目类别: Standard Grant
• 财政年份: 2002
• 资助国家: 美国
• 起止时间: 2002-08-01 至 2006-07-31
• 项目状态: 已结题
• 来源: https://www.nsf.gov/awardsearch/showAward?AWD_ID=0200714&HistoricalAwards=false
• 关键词: Geometric; Aspects; Operator; Space; Theory

The theory of operator spaces has advanced very rapidly during the past ten years, combining ideas and techniques from Banach space theory and the theory of C*-algebras. The investigator will concentrate on three aspects of geometry of operator spaces: examples of operator spaces with few completely bounded maps, the structure of non-commutative L^p spaces, and various extension properties.

算子空间理论在过去十年中发展非常迅速，结合了 Banach 空间理论和 C* 代数理论的思想和技术。 研究者将重点关注算子空间几何的三个方面：具有很少完全有界映射的算子空间的示例、非交换 L^p 空间的结构以及各种扩展属性。