Acta mathematica scientia,Series A ›› 2001, Vol. 21 ›› Issue (1): 29-35.
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WANG Yu-Wen, XU Jin-Feng
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本项目由国家自然科学基金与黑龙江省自然科学基金资助
Abstract:
X为自反、严格凸Banach 空间,L为X中闭子空间,P:X→L为单值算子,该文给出P成为L上度量投影P_L的判据及P_L为线性算子的充分必要条件.在自反Banach空间中,利用对偶映射,给出超平面上(值)度量投影的表达式.对于自反、严格凸、光滑的Banach 空间中线性流形上的(单值)度量投影,利用广义右逆的表示,求出其表达式.在后继文章中将给出此表达式的应用.
Key words: Banach 空间, 度量投影, 表达式, 对偶映射
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WANG Yu-Wen, XU Jin-Feng. The Character and Representive of a Class of Metric Projection in Banach Space[J].Acta mathematica scientia,Series A, 2001, 21(1): 29-35.
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