U.S.-India Cooperative Research on Homogeneous Operators

描述：该奖项支持由纽约市立大学H. H. Lehman学院的Adam Koranyi教授和班加罗尔Poornaprajna科学研究所的Gadadhar Misra教授共同开展的关于希尔伯特空间上同质算子的美印合作研究项目。他们将讨论一些关于齐次算子的开放性问题，包括Cowen-Douglas算子的分类。将Koranyi在表示理论方面的专业知识与印度合作者Misra在同质算子方面的专业知识结合起来，对于解决这个困难、高风险、高收益的调查领域的基本问题具有相当大的潜力。这种合作可以为基础知识做出重大贡献，并在解决算子理论中众所周知的问题方面取得实质性进展。范围：美国和印度的研究人员是具有互补背景的杰出数学家，他们将联手努力解决困难的技术问题。此次合作可能会推进作业者理论，并对该领域的工作产生广泛影响。它将对纽约市立大学研究生中心和班加罗尔普尔纳普拉杰纳研究所的教学和研究活动产生有益的影响

0423213KoranyiDescription: This award supports a U.S.-India cooperative research project on homogeneous operators on Hilbert space between Professors Adam Koranyi, City University of New York (CUNY) H. H. Lehman College and Gadadhar Misra, Poornaprajna Institute of Scientific Research, Bangalore. They will address a number of open questions on homogeneous operators, including the classification of Cowen-Douglas operators. Combining Koranyi's expertise in representation theory with that of Indian collaborator Misra on homogeneous operators has considerable potential for solving basic problems in a difficult, high-risk, high-gain area of investigation. This collaboration could contribute significantly to fundamental knowledge and lead to substantial progress in solving well-known problems in operator theory. Scope: The US and Indian investigators are distinguished mathematicians with complementary backgrounds and will join forces in trying to solve difficult technical problems. The collaboration is likely to advance operator theory and broadly impact those working in the field. It will have a beneficial effect on the teaching and research activities at both the CUNY Graduate Center and at the Poornaprajna Institute in Bangalore