Seminar第1555期 Positive extensions of Schur multipliers

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报告主题:Positive extensions of Schur multipliers
报告人:林英芬 教授 (英国女皇大学)
报告时间:2017年 12月11日(周一)10:30
报告地点:校本部G507
邀请人:王卿文 教授

报告摘要:The study of positive extensions of Schur multipliers can be traced to the matrices completion problem. In my talk, I will first introduce the study of matrices completions with some other motivations, then I will introduce partially defined Schur multipliers whose domains are operator systems. As a result, I will describe necessary and sufficient conditions for the existence of extensions to fully defined positive Schur multipliers. Application of this result to the extension problem for partially positive definite functions on locally compact groups will be given.


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