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.

在过去的十年中，运营商空间理论的发展非常迅速，结合了Banach空间理论和C* - 代数理论的思想和技术。 研究者将集中于操作员空间的几何形状的三个方面：几乎完全有界地图的操作员空间的示例，非交互性l^p空间的结构和各种扩展特性。