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    On nonlinear projections onto super weakly compact subsets in Banach spaces

    2018-09-07  點(diǎn)擊:[]

    報(bào)告人:程慶進(jìn)

    時(shí)間:9月9日下午3點(diǎn)

    地點(diǎn):X2511

    報(bào)告摘要:Let $E$ be a metric space, and let $K$ be a subset of $E$. By a $\textit{projection}$ from $E$ onto $K$ we mean a mapping $P$ from $E$ onto $K$ such that $Px=x$ for all $x\in K$. In this talk, we shall be interested in the existence of "uniformly continuous" projection on some special class of subsets in Banach spaces, called "super weakly compact sets". The class of subsets can be viewed as a localized notion of a super reflexive Banach space and has recently been studied by many researchers.

    報(bào)告人簡(jiǎn)介:程慶進(jìn),廈門大學(xué)數(shù)學(xué)科學(xué)學(xué)院,教授,博導(dǎo)。主要研究方向?yàn)椋築anach空間非線性幾何理論及其應(yīng)用。提出并研究了超弱緊性質(zhì)(與合作者);解決了非線性譜系關(guān)于指數(shù)p的穩(wěn)定性問題。主持國(guó)家面上及其省部級(jí)自然科學(xué)基金8項(xiàng),并參加一項(xiàng)國(guó)家自然科學(xué)重點(diǎn)基金。在JCA,JFA,Studia Math等發(fā)表多篇sci論文。

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