U.S.-India Cooperative Research on Homogeneous Operators

0423213 Koranyi描述：该奖项支持纽约城市大学(CUNY)H.H.Lehman学院的Adam Koranyi教授和班加罗尔Poornaprajna科学研究所的Gadhar Misra教授之间关于希尔伯特空间上齐次算子的美印合作研究项目。他们将解决一些关于齐次算子的公开问题，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在齐次算子方面的专业知识结合起来，在解决困难、高风险、高收益研究领域的基本问题方面具有相当大的潜力。这种合作可以对基础知识做出重大贡献，并在解决算子理论中的众所周知的问题方面取得实质性进展。范围：美国和印度的调查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。这种合作可能会推动操作员理论的发展，并对该领域的工作人员产生广泛影响。它将对城市大学研究生院和班加罗尔Poornaprajna学院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