U.S.-Tunisia Cooperative Research: Positive Operators

0423522项目描述：该项目支持一个由Gerard Buskes博士，密西西比大学数学系和Karim Boulabiar博士，突尼斯，迦太基大学，迦太基大学数学系的合作项目。他们建议在泛函分析的广泛领域进行数学研究，特别强调正运算符领域。他们还计划于2005年夏天在突尼斯组织一次为期三天的讲习班，主题是积极、积极运营者及其应用。范围：正运算符的主题已经被发现非常有用，不仅是因为它本身，而且因为它的许多应用，特别是在优化领域。所提出的问题是困难的，并且是现代算子理论的主流。PI是正算子领域的专家。在北约的资助下，私人投资机构于2002年开始了这项关于积极操作员的合作。该项目将支持约5名美国研究人员和5名研究生参加研讨会。虽然还处于早期阶段，但这项研究似乎已经在相当短的时间内取得了成果。拟议的研究将继续不交保持算子的PI研究，并探索与微分方程的联系和对更抽象领域的扩展。

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.