{"title":"正性与矩阵不等式:对 K. R. Parthasarathy 的一些回忆","authors":"Rajendra Bhatia","doi":"10.1007/s13226-024-00639-8","DOIUrl":null,"url":null,"abstract":"<p>One of K. R. Parthasarathy’s major and abiding interests was the theory of positive definite functions and especially its relation to classical and quantum probability. Here we recall his contribution in providing a seminal idea that stimulated a lot of work on matrix inequalities.\n</p>","PeriodicalId":501427,"journal":{"name":"Indian Journal of Pure and Applied Mathematics","volume":"26 1","pages":""},"PeriodicalIF":0.0000,"publicationDate":"2024-07-04","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"title\":\"Positivity and matrix inequalities: some reminiscences of K. R. Parthasarathy\",\"authors\":\"Rajendra Bhatia\",\"doi\":\"10.1007/s13226-024-00639-8\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"<p>One of K. R. Parthasarathy’s major and abiding interests was the theory of positive definite functions and especially its relation to classical and quantum probability. Here we recall his contribution in providing a seminal idea that stimulated a lot of work on matrix inequalities.\\n</p>\",\"PeriodicalId\":501427,\"journal\":{\"name\":\"Indian Journal of Pure and Applied Mathematics\",\"volume\":\"26 1\",\"pages\":\"\"},\"PeriodicalIF\":0.0000,\"publicationDate\":\"2024-07-04\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"0\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Indian Journal of Pure and Applied Mathematics\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/10.1007/s13226-024-00639-8\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"\",\"JCRName\":\"\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"Indian Journal of Pure and Applied Mathematics","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.1007/s13226-024-00639-8","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
引用次数: 0
摘要
K. R. Parthasarathy 的主要兴趣之一是正定函数理论,特别是它与经典和量子概率的关系。在此,我们回顾一下他在提供开创性思想方面所做的贡献,这一思想激发了大量关于矩阵不等式的研究。
Positivity and matrix inequalities: some reminiscences of K. R. Parthasarathy
One of K. R. Parthasarathy’s major and abiding interests was the theory of positive definite functions and especially its relation to classical and quantum probability. Here we recall his contribution in providing a seminal idea that stimulated a lot of work on matrix inequalities.