2类压缩映射的强收敛定理

在一般Banach空间研究了拟压缩映射对和广义压缩映射的不动点的Ishikawa迭代序列的收敛性问题;在凸度量空间研究了拟压缩映射对的不动点的广义Ishikawa迭代序列的收敛性问题,所得结果推广和改进了已有文献中的相应结果.     

一般拓扑学中的一些问题及解答

列举林寿及其合作者于1988年至2009年在发表的论文或出版的著作中提出的138个拓扑学问题的解答情况,其中已解决的问题48个,未解决的问题90个.     

关于K极光滑空间

2001年冼军引入了k极光滑空间的概念,作为与其对偶的想法苏雅拉图和李广利引入了k极凸空间,并充分地研究了这一类凸性空间.虽然k极光滑空间概念较早被提出来,但是这一类光滑性空间尚未得到深入的研究,甚至这一类光滑性与其它光滑性之间的关系尚未弄清楚,本文深入研究了这一类光滑性空间,得到了它的一些性质以及与其它光滑性质之间的关系.另外,证明了:若X是弱局部k一致凸空间,则对每个x∈S(X),f∈Sx是X*的k光滑点。     

基于扎根理论的众创空间创新机制研究

基于扎根理论的研究方法,在对19个国家级或省级众创空间样本研究基础上构建众创空间创新机制模型。研究发现:众创空间的创新机制核心要素为基础禀赋、网络能力、制度环境、网络嵌入性和创新方式五类,其中,基础禀赋与网络能力为创新能力生产阶段要素,信任嵌入、承诺嵌入、信息共享、联合解决和制度环境为网络嵌入性阶段要素,利用式创新与探索式创新为创新绩效生成阶段要素;众创空间的创新能力是创新绩效的前因基础,网络嵌入性是创新能力与创新绩效的中介因素,制度环境是创新能力与嵌入性要素的调节因素。     

A note on the Marcinkiewicz integral operators on F_p~(α,q)

In this paper, we shall prove that the Marcinkiewicz integral operator μ, when its kernel satisfies the L1-Dini condition, is bounded on the Triebel-Lizorkin spaces. It is well known that the Triebel-Lizorkin spaces are generalizations of many familiar spaces such as the Lebesgue spaces and the Sobolev spaces. Therefore, our result extends many known theorems on the Marcinkiewicz integral operator. Our method is to regard the Marcinkiewicz integral operator as a vector valued singular integral. We also use another characterization of the Triebel-Lizorkin space which makes our approach more clear.     

关于Orlicz空间中范数的一个等价命题

证明了在Orlicz空间中下面三个条件等价(1)inf{‖x‖0∶‖x‖=1} >1; (2)sup{‖x‖∶‖x‖0 =1}<1 ; (3)M∈△2∩ 2.     

Addressing the Sex Abuse Crisis in Communities of Faith and Learning

Abstract

This paper argues that educational communities of faith and learning (e.g. Catholic colleges and universities) are especially primed to face into the pain and reality of the sex abuse crisis in honest and constructive ways. Citing the need for strategic collaboration between mental health professionals and religious educators, it calls for pedagogies which: are trauma-informed and utilize the insights of neuroscience; promote open dialogue in the face of organizational silence; foster safe and courageous spaces; attend to the dangerous memory and deep impacts which accompany survivors of the sex abuse. It argues that failure to address the sex abuse crisis with open and interdisciplinary discourse fosters a null curriculum that will only serve to have corrosive implications.     

Orlicz空间的WR和WMLUR

给出了赋Orlicz范数的Orlicz函数空间WMLUR和WR的判据．     

The challenges of establishing social learning spaces at a Johannesburg university student residence: Student views

This article reports on two cycles of a Participatory Action Research (PAR) study on student experiences of the process of establishing social learning spaces in a Johannesburg university student residence. We draw on Wenger’s (2009) notion of ‘social learning spaces’ to explore the manner in which students mediate their social and institutional identity, expose power imbalances in terms of decision-making and determine influences on their learning. We argue that learning is facilitated by social engagement and suggest that the conceptualisation and implementation of social learning spaces, although a complex and protracted process, is valuable for students’ social and academic development, particularly in a residence environment. Data were collected via semi-structured interviews, analysed using content analysis, and interpreted through a Cultural Historical Activity Theory (CHAT) lens. The findings point to the complexity of establishing social learning spaces (SLS) in a student residence environment with students experiencing multiple tensions in the process, including struggles with collaborative learning, difficulties in developing agency and the challenges of traversing power relations.     

Conservation laws for energy and momentum in curved spaces

In arbitrary Riemannian 4-spaces, continuity equations are constructed which could be interpreted as conservation laws for the energy and momentum of the gravitational field. Special attention is given to general relativity to obtain, of natural manner, the pseudotensors of Einstein, Landau-Lifshitz, Mller, Goldberg and Stachel, and also the conservation equations of Komar, Trautman, DuPlessis and Moss.