Reduced minimum modulus of Jordan product on bounded linear operators
講座名稱:Reduced minimum modulus of Jordan product on bounded linear operators
講座人:齊霄霏 教授
講座時(shí)間:11月8日14:30-16:00
地點(diǎn):騰訊會(huì)議(853 532 602)(密碼 2024)
講座人介紹:
齊霄霏,山西大學(xué)數(shù)學(xué)與統(tǒng)計(jì)學(xué)院教授、博導(dǎo),現(xiàn)擔(dān)任院長(zhǎng)助理。主要從事算子理論與算子代數(shù),以及量子信息中量子關(guān)聯(lián)等的基礎(chǔ)理論研究。出版學(xué)術(shù)專著1 部,在Journal of Functional Analysis,Science in China,Physical Review A,Science in China 等知名學(xué)術(shù)刊物上發(fā)表學(xué)術(shù)論文130 余篇。獲山西省自然科學(xué)獎(jiǎng)二等獎(jiǎng)1 項(xiàng),主持或完成國(guó)家自然科學(xué)基金項(xiàng)目4 項(xiàng)、山西省優(yōu)秀青年基金項(xiàng)目1 項(xiàng),以項(xiàng)目骨干成員身份(排名第2)參與科技部的科技創(chuàng)新2030-重大項(xiàng)目1 項(xiàng)。主持山西省一流課程《數(shù)學(xué)分析》一門;主持省教改項(xiàng)目1 項(xiàng)。曾獲山西大學(xué)青年英才,山西省高校優(yōu)秀青年學(xué)術(shù)帶頭人,山西省高校131 領(lǐng)軍人才工程-優(yōu)秀中青年拔尖創(chuàng)新人才,三晉英才計(jì)劃青年優(yōu)秀人才, 山西省科教興晉突出貢獻(xiàn)專家,山西大學(xué)十佳青年教師等。
講座內(nèi)容:
Abstract: Let H be a complex Hilbert space, B(H) the Banach algebra of all bounded linear operators on H, and Bs(H) be the Jordan algebra of all self-adjoint operators in B(H). In this talk, we first give some properties about the reduced minimum modulus of operators, and then obtain complete characterizations of all maps preserving the reduced minimum modulus of Jordan product on Bs(H) and B(H), respectively.
主辦單位:數(shù)學(xué)與統(tǒng)計(jì)學(xué)院