U.S.-Tunisia Cooperative Research: Positive Operators

美国-突尼斯合作研究：正算子

• 批准号: 0423522
• 负责人: Gerard Buskes
• 金额: $ 2.72万
• 依托单位: University of Mississippi
• 依托单位国家: 美国
• 项目类别: Standard Grant
• 财政年份: 2004
• 资助国家: 美国
• 起止时间: 2004-09-01 至 2007-08-31
• 项目状态: 已结题
• 来源: https://www.nsf.gov/awardsearch/showAward?AWD_ID=0423522&HistoricalAwards=false
• 关键词: U.S.; Tunisia; Cooperative; Research; Positive

0423522 BuskesDescription: This project supports a cooperative project by the Dr. Gerard Buskes, Department of Mathematics, University of Mississippi, University, Mississippi and Dr. Karim Boulabiar, Department of Mathematics, Institute Preparatoire aux Etudes Scientifique et Technique, University of Carthage, Carthage, Tunis, Tunisia. They propose to conduct mathematical studies in the broad area of functional analysis with particular emphasis in the area of positive operators. They also plan to organize a three-day workshop in Tunisia in the summer of 2005 on the subject of Positivity, Positive Operators and its Applications. Scope: The subject of positive operators has been found to be very useful not only for its own sake but also for its many applications, in particular in the area of optimization. The proposed problems are difficult and in the main stream of modern operator theory. The PIs are experts in the area of positive operators. The PIs started this collaboration on positive operators in 2002 under a grant from NATO. The project will support the attendance in the workshop of approximately 5 US researchers and 5 graduate students. While still at an early stage, the research seems to have already been productive in a fairly short amount of time. The proposed research would continue the PIs investigation of disjointness preserving operators and explore connections with differential equations and extensions to more abstract domains.

0423522 Buskes描述：该项目支持密西西比大学数学系Gerard Buskes博士和突尼斯迦太基迦太基大学科学技术研究所数学系Karim Boulabiar博士的合作项目。 他们建议进行数学研究的广泛领域的功能分析，特别强调在该地区的积极运营商。他们还计划于2005年夏季在突尼斯举办一次为期三天的讲习班，主题是“积极性、积极算子及其应用”。 适用范围：正算子的主题已经被发现是非常有用的，不仅因为它本身，而且因为它的许多应用，特别是在优化领域。 所提出的问题是现代算子理论的主流和难点。 PI是积极运营商领域的专家。2002年，在北约的一笔赠款下，PI开始了关于积极运营商的合作。 该项目将支持大约5名美国研究人员和5名研究生参加研讨会。虽然仍处于早期阶段，但这项研究似乎在相当短的时间内已经取得了成效。 拟议的研究将继续PI的不相交保持算子的调查，并探索与微分方程和扩展到更抽象的域的连接。