Research on geometric structures of Banach and function spaces with application of their [psi]-direct sums
Banach 和函数空间的几何结构及其 psi 直和的应用研究
基本信息
- 批准号:23540216
- 负责人:
- 金额:$ 3.16万
- 依托单位:
- 依托单位国家:日本
- 项目类别:Grant-in-Aid for Scientific Research (C)
- 财政年份:2011
- 资助国家:日本
- 起止时间:2011 至 2013
- 项目状态:已结题
- 来源:
- 关键词:
项目摘要
We characterized the weak nearly uniform smoothness of [psi]-direct sums of finitely many Banach spaces, where we introduced a class of convex functions which yield partial [ell]_1 norms on Cn. As an application, by constructing such a convex funtion we presented a plenty of Banach spaces with the fixed point property for nonexpansive mappings which are not uniformly non-square.We introduced a geometric constant A(X) which is connected to the modulus of smoothness and obtained a sequence of results, and also concerning the von Neumann-Jordan constant of absolute norms on C2 we obtained a result which contains a couple of previous results.
在Cn上引入了一类凸函数,证明了Cn上[psi]-直和的弱近一致光滑性.作为应用,通过构造这样一个凸函数,我们给出了一系列具有非一致非方非扩张映象不动点性质的Banach空间,并引入了一个与光滑模有关的几何常数A(X),得到了一系列结果,关于C_2上绝对范数的vonNeumann-Jordan常数,我们得到了一个结果,它包含了一些已有的结果.
项目成果
期刊论文数量(0)
专著数量(0)
科研奖励数量(0)
会议论文数量(0)
专利数量(0)
Weak nearly uniform smoothness of direct sums of Banach spaces
Banach 空间直和的弱近均匀平滑性
- DOI:
- 发表时间:2012
- 期刊:
- 影响因子:0
- 作者:加藤幹雄;田村高幸
- 通讯作者:田村高幸
Fixed point theorems for Chatterjea mappings
Chatterjea 映射的不动点定理
- DOI:
- 发表时间:2013
- 期刊:
- 影响因子:0
- 作者:高橋泰嗣;加藤幹雄;吉冨和志;阿部誠;阿部誠;吉冨和志;M. Kato and T. Tamura;T. Suzuki
- 通讯作者:T. Suzuki
On [psi]-direct sums of Banach spaces with a strictly monotone norm
关于具有严格单调范数的 Banach 空间的 psi 直和
- DOI:
- 发表时间:2012
- 期刊:
- 影响因子:0
- 作者:田村高幸;加藤幹雄
- 通讯作者:加藤幹雄
Schatten p-norm inequalities related to an extended operator parallelogram law
与扩展算子平行四边形定律相关的 Schatten p 范数不等式
- DOI:
- 发表时间:2011
- 期刊:
- 影响因子:0
- 作者:M. S. Moslehiam;M. Tominaga;K.-S. Saito
- 通讯作者:K.-S. Saito
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KATO Mikio其他文献
KATO Mikio的其他文献
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{{ truncateString('KATO Mikio', 18)}}的其他基金
Research on geometric structures of Banach and function spaces with direct sums
Banach几何结构与直和函数空间的研究
- 批准号:
26400131 - 财政年份:2014
- 资助金额:
$ 3.16万 - 项目类别:
Grant-in-Aid for Scientific Research (C)
Research on geometric structures of Banach and function spaces with applications
Banach几何结构与函数空间研究及应用
- 批准号:
20540179 - 财政年份:2008
- 资助金额:
$ 3.16万 - 项目类别:
Grant-in-Aid for Scientific Research (C)
RESEARCH ON GEOMETRIC STRUCTURES OF BANACH AND FUNCTION SPACES AND ψ-DIRECT SUMS
Banach几何结构与函数空间及ψ-直和的研究
- 批准号:
18540185 - 财政年份:2006
- 资助金额:
$ 3.16万 - 项目类别:
Grant-in-Aid for Scientific Research (C)
RESEARCH ON GEOMETRY OF BANACH AND FUNCTION SPACES AND INEQUALITIES
Banach几何与函数空间及不等式的研究
- 批准号:
16540163 - 财政年份:2004
- 资助金额:
$ 3.16万 - 项目类别:
Grant-in-Aid for Scientific Research (C)
RESEARCH ON GEOMETRIC STRUCTURES OF BANACH AND FUNCTION SPACES AND APPLICATIONS
Banach几何结构与函数空间的研究及应用
- 批准号:
14540181 - 财政年份:2002
- 资助金额:
$ 3.16万 - 项目类别:
Grant-in-Aid for Scientific Research (C)
OPERATOR THEORETICAL RESEARCH ON GEOMETRY OF BANACH SPACES AND APPLICATIONS
Banach空间几何算子理论研究及应用
- 批准号:
11640172 - 财政年份:1999
- 资助金额:
$ 3.16万 - 项目类别:
Grant-in-Aid for Scientific Research (C)
Analysis of Stresses on the fracture of mandibular bone in the chidhood used the finite element method
儿童下颌骨骨折的有限元应力分析
- 批准号:
09672131 - 财政年份:1997
- 资助金额:
$ 3.16万 - 项目类别:
Grant-in-Aid for Scientific Research (C)
OPERATOR THEORETICAL RESEARCH ON GEOMETRY OF BANACH SPACES AND APPLICATIONS
Banach空间几何算子理论研究及应用
- 批准号:
09640203 - 财政年份:1997
- 资助金额:
$ 3.16万 - 项目类别:
Grant-in-Aid for Scientific Research (C)
Anti-tumor effect of novel tumor necrosis factor (TNF-S) to human urological cancer in vitro and in vivo
新型肿瘤坏死因子(TNF-S)对人泌尿癌的体外和体内抗肿瘤作用
- 批准号:
63570755 - 财政年份:1988
- 资助金额:
$ 3.16万 - 项目类别:
Grant-in-Aid for General Scientific Research (C)