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| 1 | The Representation Theorem of onto Isometric Mappings between Two Unit Spheres of l^1(Г) Type Spaces and The Application to the Isometric Extension Problem显示文摘In this paper,we first derive the representation theorem of onto isometric mappings in theunit spheres of l^1(F) type spaces,and then conclude that such mappings can be extended to the wholespace as real linear isometrics by using a previous result of the author. | Guang Gui DING | 2004 | Acta Mathematica Sinica,English Series2004,20,6: | 30 |
| 2 | On Linearly Isometric Extensions for 1-Lipschitz Mappings Between Unit Spheres of ALP-spaces (p>2)显示文摘在这篇论文,我们看那 V 0 是否是在与 p 统一二个 AL p 空格的范围之间印射的 1-Lipschitz > 2 并且 ? V 0 (S 1 (L p )) 吗?V 0 (S 1 (L p )) ,然后, V 0 能被扩大到在整个空间定义的线性 isometry。如果 1 < p < 2 并且 V 0 是印射的鈥渁n ti-1-Lipschitz 鈥 ? ,那么, V 0 能线性地并且等大地也被扩大。关键词等轴的扩展 - AL p 空格 - 严格地凸的先生(2000 ) 题目分类 46A22 - 46B02 - 46B20 为高等教育(资助号码 20060055010 ) 的博士程序由中国(资助号码 10871101 ) | Guang Gui DING | 2010 | Acta Mathematica Sinica,English Series2010,26,2: | 4 |
| 3 | The Isometric Extension of an Into Mapping from the Unit Sphere S(e_((2))~∞)to S(L^1(μ))显示文摘This is the first paper to consider the isometric extension problem of an into-mappingbetween the unit spheres of two different types of spaces.We prove that,under some conditions,aninto-isometric mapping from the unit sphere S(_((2))~∞) to S(L^1(μ))can be(real)linearly isometricallyextended. | Guang Gui DING School of Mathematical Science and LPMC,Nankai University,Tianjin 300071,P.R.China | 2006 | Acta Mathematica Sinica,English Series2006,22,6: | 4 |
| 4 | A Note on Linear Extension of Into-Isometries Between Two Unit Spheres of Atomic AL^p-Space (0 〈 p 〈∞)显示文摘在这份报纸,我们将在等轴的线性延期问题上介绍一个短、简单的证明进在原子抽象 L p 鈥搒p 王牌的二个单位范围之间的鈥搃s ometries (0 < p < 鈭 ? 。关键词等轴的扩展 - 原子抽象 L p 鈥搒p 王牌先生(2000 ) 题目分类 46B04 - 46B42 - 47A67 这个工作被中国(资助号码 10501090 ) 和研究资金的国家自然科学基金会为高等教育(号码 20010055013 ) | Guang Gui DING | 2006 | Acta Mathematica Sinica,English Series2006,22,1: | 3 |
| 5 | The Isometric Extension Problem between Unit Spheres of Two Separable Banach Spaces显示文摘In this article,we use some analytic and geometric characters of the smooth points in a sphere to study the isometric extension problem in the separable or reflexive real Banach spaces.We obtain that under some condition the answer to this problem is affirmative. | Guang Gui DING | 2015 | Acta Mathematica Sinica,English Series2015,31,12: | 2 |
| 6 | On Almost Isometric Embedding from C(Ω) into C_0(Ω_0)显示文摘在这篇论文,我们从 C 为任何几乎等轴的操作员的存在给足够、必要的条件(Ω) 进 C_0 (Ω _ 0 ) 。作为推论,我们证明从有进 C_0 的一个强壮的单位的任何抽象 M 空间没有ε - isometry (Γ) 如果 0 < ε < 1/9。 | Guang Gui DING | 2005 | Acta Mathematica Sinica,English Series2005,21,5: | 1 |
| 7 | How to Recognize Nonexpansive Mappings and Isometric Mappings显示文摘在二个真实 Banach 空格,我们将介绍二个条件,在印射的每 nonexpansive 一定哪个是 isometry 之一下面。 | Guang Gui DING Yu Mei MA | 2011 | Acta Mathematica Sinica,English Series2011,27,10: | 1 |
| 8 | Solar X-ray and EUV imager on board the FY-3E satellite显示文摘The solar X-ray and Extreme Ultraviolet Imager(X-EUVI),developed by the Changchun Institute of Optics,Fine Mechanics and Physics,Chinese Academy of Sciences(CIOMP),is the first space-based solar X-ray and Extreme ultraviolet(EUV)imager of China loaded on the Fengyun-3E(FY-3E)satellite supported by the China Meteorological Administration(CMA)for solar observation.Since started work on July 11,2021,X-EUVI has obtained many solar images.The instrument employs an innovative dual-band design to monitor a much larger temperature range on the Sun,which covers 0.6-8.0 nm in the X-ray region with six channels and 19.5 nm in the EUV region.X-EUVI has a field of view of 42′,an angular resolution of 2.5″per pixel in the EUV band and an angular resolution of 4.1″per pixel in the X-ray band.The instrument also includes an X-ray and EUV irradiance sensor(X-EUVS)with the same bands as its imaging optics,which measures the solar irradiance and regularly calibrates the solar images.The radiometric calibration of X-EUVS on the ground has been completed,with a calibration accuracy of 12%.X-EUVI is loaded on the FY-3E satellite and rotates relative to the Sun at a uniform rate.Flat-field calibration is conducted by utilizing successive rotation solar images.The agreement between preliminarily processed X-EUVI images and SDO/AIA and Hinode/XRT images indicates that X-EUVI and the data processing algorithm operate properly and that the data from X-EUVI can be applied to the space weather forecast system of CMA and scientific investigations on solar activity. | Bo Chen Xiao-Xin Zhang Ling-Ping He Ke-Fei Song Shi-Jie Liu Guang-Xing Ding Jin-Ping Dun Jia-Wei Li Zhao-Hui Li Quan-Feng Guo Hai-Feng Wang Xiao-Dong Wang Yun-Qi Wang Hong-Ji Zhang Guang Zhang Zhen-Wei Han Shuang Dai Pei-Jie Zhang Liang Sun Yang Liu software engineer Peng Wang Kun Wu Chen Tao Shi-Lei Mao Gui Mei Liang Yang Li-Heng Chen Chun-Yang Han Bin Huang Yang Liu mechanical engineer Shuai Ren Peng Zhou Ze-XiWei Xiao-Xue Zhang Yue Zhang Xin Zheng Yang Wang Ya Chen Jing-Jiang Xie Fei He Qiao Song Wei-Guo Zong Xiu-Qing Hu Peng Zhang Jing-Song Wang Zhong-Dong Yang | 2022 | Light(Science & Applications)2022,11,12: | 0 |
| 9 | Isometric Extension Problem Between Strictly Convex Two-dimensional Normed Spaces显示文摘In this paper, based on the smooth point of the unit ball and its support linear functional,we show two equivalent formulations of the isometric extension problem between the unit spheres of strictly convex two-dimensional normed spaces. We prove that these equivalent formulations have a positive answer in a special case. | Guang Gui DING Jian Ze LI | 2019 | Acta Mathematica Sinica,English Series2019,35,4: | 0 |