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THE ISOMETRIC EXTENSION OF AN INTO MAPPING FROM THE UNIT SPHERE S[e(Г)] TO THE UNIT SPHERE S(E) Dedi
[期刊论文] 作者：Ding Guanggui,
来源：数学物理学报 年份：2004
This is such a article to consider an "into" isometric mapping between two unit spheres of two infinite dimensional spaces of different types.In this article, w...
[期刊论文] 作者：DING Guanggui,
来源：中国科学A辑 年份：2004
In this paper we shall assert that if T is an isomorphism ofL∞(Ω1,A,μ) into L∞(Ω2,B,ν) satisfying the condition ‖T‖·‖T-1‖≤1+ε for ε∈ is close to...
[期刊论文] 作者：Ding Guanggui,
来源：数学物理学报（英文版） 年份：2004
This article presents a novel method to prove that: let E be an AM-space and if dim E ≥ 3, then there does not exist any odd subtractiveisometric mapping from...
The representation theorem of onto isometric mappings between two unit spheres of l∞-type spaces and
[期刊论文] 作者：DING Guanggui,
来源：中国科学A辑 年份：2004
In this paper, we first derive the representation theorem of onto isometric mappings in the unit spheres of real l∞-type spaces, then we conclude that such map...
The representation theorem of onto isometric mappings between two unit spheres of l∞-type spaces and
[期刊论文] 作者：DING Guanggui,
来源：黑龙江科技学院学报 年份：2004
In this paper, we first derive the representation theorem of onto isometric mappings in the unit spheres of real l∞-type spaces, then we conclude that such map...
[期刊论文] 作者：DING Guanggui,
来源：系统科学与数学（英文期刊） 年份：1999
In this paper, we show that a theorem concing theequicontinuity of the operators in F-spaces can be generalized to a class ofoperators defined on the binary fis...
[期刊论文] 作者：Ding Guanggui,
来源：黑龙江科技学院学报 年份：2008
为探究吕家坨井田地质构造格局,根据钻孔勘探资料,采用分形理论和趋势面分析方法,研究了井田7...
THE ISOMETRIC EXTENSION OF AN INTO MAPPING FROM THE UNIT SPHERE S[e(Г)] TO THE UNIT SPHERE S(E) Dedi
[期刊论文] 作者：Ding Guanggui,
来源：黑龙江科技学院学报 年份：2009
为探究吕家坨井田地质构造格局,根据钻孔勘探资料,采用分形理论和趋势面分析方法,研究了井田7...
[期刊论文] 作者：DING GuangGui,
来源：中国科学：数学英文版 年份：2011
Let X and Y be real Banach spaces.Suppose that the subset sm[S1(X)] of the smooth points of the unit sphere [S1(X)] is dense in S1(X).If T0 is a surjective 1-Li...
[期刊论文] 作者：DING Guanggui(,
来源：中国科学：数学英文版 年份：2003
［1］Tingley, D., Isometries of the unit sphere, Geometriae Dedicata, 1987, 22: 371-378.［2］Ding Guanggui, On the extension of isometries between unit spheres of E and...
[期刊论文] 作者：DING Guanggui,
来源：中国科学：数学英文版 年份：2001
［1］Lacey, H. E., Isometric Theory of Classical Banach Spaces, Berlin-Heidelberg-New York: Springer-Verlag, 1974.［2］Michael, E., Pelczynski, A., Separable spaces whi...
The 1-Lipschitz mapping between the unit spheres of two Hilbert spaces can be extended to a real lin
[期刊论文] 作者：DING Guanggui(定光桂),
来源：中国科学：数学英文版 年份：2002
Let E and F be Hilbert spaces with unit spheres S1(E) and S1(F). Suppose that V0 S1(E)→S1(F) is a Lipschitz mapping with Lipschitz constant k=1 such that -V0[S...
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