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101.
Chi-Kwong Li Yiu-Tung Poon Nung-Sing Sze 《Proceedings of the American Mathematical Society》2005,133(2):369-377
We characterize linear maps between different rectangular matrix spaces preserving Ky Fan norms.
102.
It is shown that an n × n matrix of continuous linear maps from a pro-C^*-algebra A to L(H), which verifies the condition of complete positivity, is of the form [V^*TijФ(·)V]^n i,where Ф is a representation of A on a Hilbert space K, V is a bounded linear operator from H to K, and j=1,[Tij]^n i,j=1 is a positive element in the C^*-algebra of all n×n matrices over the commutant of Ф(A) in L(K). This generalizes a result of C. Y.Suen in Proc. Amer. Math. Soc., 112(3), 1991, 709-712. Also, a covariant version of this construction is given. 相似文献
103.
Dennis Kretschmann Dirk Schlingemann Reinhard F. Werner 《Journal of Functional Analysis》2008,255(8):1889-1904
We show a continuity theorem for Stinespring's dilation: two completely positive maps between arbitrary C∗-algebras are close in cb-norm if and only if we can find corresponding dilations that are close in operator norm. The proof establishes the equivalence of the cb-norm distance and the Bures distance for completely positive maps. We briefly discuss applications to quantum information theory. 相似文献
104.
105.
Common fixed point results for noncommuting mappings without continuity in cone metric spaces 总被引:1,自引:0,他引:1
The existence of coincidence points and common fixed points for mappings satisfying certain contractive conditions, without appealing to continuity, in a cone metric space is established. These results generalize several well-known comparable results in the literature. 相似文献
106.
Qinghong Zhang 《Central European Journal of Operations Research》2008,16(2):205-213
Recently, a semidefinite and semi-infinite linear programming problem (SDSIP), its dual (DSDSIP), and uniform LP duality between
(SDSIP) and (DSDSIP) were proposed and studied by Li et al. (Optimization 52:507–528, 2003). In this paper, we show that (SDSIP)
is an ordinary linear semi-infinite program and, therefore, all the existing results regarding duality and uniform LP duality
for linear semi-infinite programs can be applied to (SDSIP). By this approach, the main results of Li et al. (Optimization
52:507–528, 2003) can be obtained easily. 相似文献
107.
Based upon Ben-Tal’s generalized algebraic operations, new classes of functions, namely (h,φ)-type-I, quasi (h,φ)-type-I, and pseudo (h,φ)-type-I, are defined for a multi-objective programming problem. Sufficient optimality conditions are obtained for a feasible
solution to be a Pareto efficient solution for this problem. Some duality results are established by utilizing the above defined
classes of functions, considering the concept of a Pareto efficient solution.
This research is supported by National Science Foundation of China under Grant No. 69972036. 相似文献
108.
Jean-Paul Penot 《Journal of Global Optimization》2008,40(1-3):319-338
We look for a general framework in which the Ekeland duality can be formulated. We propose a scheme in which the parameter
sets are provided with a coupling function which induces a conjugacy. The decision spaces are not supposed to have any special
structure. We examine several examples. In particular, we consider some special classes of generalized convex functions. 相似文献
109.
We consider two-stage pure integer programs with discretely distributed stochastic right-hand sides. We present an equivalent
superadditive dual formulation that uses the value functions in both stages. We give two algorithms for finding the value
functions. To solve the reformulation after obtaining the value functions, we develop a global branch-and-bound approach and
a level-set approach to find an optimal tender. We show that our method can solve randomly generated instances whose extensive
forms are several orders of magnitude larger than the extensive forms of those instances found in the literature.
This work is supported by National Science Foundation grants DMI-0217190 and DMI-0355433. 相似文献
110.
传统的基于形状信息目标定位的算法,对目标观测角度发生形变情况下的定位存在不少困难,针对该问题,提出了一种基于稀疏活动轮廓模型的感兴趣目标(OOI)检测算法.首先通过共同勾画算法学习到感兴趣目标的稀疏活动轮廓模型,它能够清晰地定义感兴趣目标模式;同时构成该模型的Gabor轮廓基元可以通过扰动进行局部的调整以适配图像,在一... 相似文献