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广义分解定理与两个不等式

THE GENERALIZED DECOMPOSITION THEOREM AND TWO SYMMETRIC INEQUALITIES
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摘要 本文给出了Banach空间广义分解定理的一个初等证明,并利用它来证明两个对称不等式.这是首次在Banach空间获得这样的不等式. This paper gives a preliminary proof of the generalized decomposition theorem in Ba-nach spaces, and shows two symmetric inequalities. It's the first time to get these results.
出处 《数学年刊(A辑)》 CSCD 北大核心 2005年第2期165-172,共8页 Chinese Annals of Mathematics
关键词 度量投影 广义投影 基本变分原理 广义分解定理 Metric projection, Generalized projection. Basic variational principle for the generalized projection, Generalized decomposition
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参考文献4

  • 1Song Wen & Cao Zhengjun, The generalized decomposition theorem in Banach spaces and it's applications [J], Journal of Approximation Theory, 129(2004), 167-181.
  • 2Alber, Ya. I., Generalized projections decompositions and the Pythagoream-type theorem in Banach spaces [J], Appl. Math. Lett., 11:6 (1998), 115-121.
  • 3Alber, Ya. I., Metric and generalized projection operators in Banach spaces, properties and applications [A], In Theory and Applications of Nonlinear Operators of Monotone and Accretive Type (Edited by A.Kartsatos) [M], Marcel Dekker, New York, 1996,15-50.
  • 4Moreau, J. J., Decomposition orthogonal dun espace hibertien selon deux cones mutuellement polaires [J], C. R. Acad. Sci., Paris, 255(1962), 238-240.

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