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1)  dual [linear] mapping
对偶[线性]映射
2)  duality mapping
对偶[性]映射
3)  duality mapping
对偶映射
1.
The results of the paper were indicated that the geometies of the Banach space could be equivalent to some continuities of the duality mapping.
指出Banach空间的几何性质可等价于对偶映射的某种连续性,进一步揭示了这两者之间的内在联
4)  duality map
对偶映射
1.
In this paper we carefully investigated some relationships between Birkhoff orthogonality duality map, and isosceles orthogonality, pythagorean orthogonality, and Roberts orthogonality, some characteristics of inner product spaces are also given.
讨论了Birkhoff正交性与对偶映射、等腰正交性、勾股正交性和Roberts正交性之间联 系,给出了内积空间的特征性质。
5)  Dual mapping
对偶映射
1.
On the ground of the above facts some new necessary and sufficient conditions and sufficient conditions of Banach space reflexion is given by using dual mapping and(S)-property.
阐述和总结了对Banach空间自反性问题所做的工作,并在此基础上利用对偶映射的概念与(S)性质给出了Banach空间自反的一些新的充要条件和充分条件。
2.
By means of the dual mapping and geometric properties of Banach spaces, the necessary and sufficient condition for existence of the Tseng metric generalized inverse is .
Tseng)在 Hilbert空间中为线性算子引入的 Tseng广义道,推广到 Banach空间,引入 Tseng度量广义逆(此时的 Tseng度量广义逆一般为齐性算子,而非线性算子),利用 Banach空间对偶映射与广义正交分解定理给出 Tseng度量广义道存在的充分必要条件。
6)  Dual Drinfeld map
对偶Drinfeld映射
1.
When the properties of Dual Drinfeld map are discussed,a sufficient condition of D(H)being a factorizable Hopf algebra can be obtained then the method of constructing a factorizable Hopf algebra is stated.
通过研究对偶Drinfeld映射的性质,得出D(H)*为因子分解Hopf代数的一个充分条件,从而给出一种构造因子分解Hopf代数的具体方法。
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