Generalized Orthogonal Decomposition Theorem and Riesz Representation Theorem Based on Generalized Duality Mappings

摘要：

In this paper the generalized semi-inner-products and duality mappings are studied, and a generalized orthogonal decomposition theorem in Banach space is given. As applications, a generalized Riesz representation theorem for bounded linear functionals is presented.

关键词： Generalized orthogonal decomposition Duality mapping Generalized semi-inner-product Riesz representation theorem

作者: Xing-hua Zhu Jian-zhong Xiao

作者单位: College of Mathematics & Physics, Nanjing University of Information Science & Technology, Nanjing 210044, China

会议类型: 国际会议

会议名称: 2010 International Conference on Application of Mathematics and Physics(2010国际数理科学与气象学术研讨会暨2010空间天气学研讨会 AMP2010)

会议地点: 南京

会议语种:英文

页码: 445-449

在线出版日期: 2010-05-08（万方平台首次上网日期，不代表论文的发表时间）