Hilbert＇s Projective Metric and the Norm on a Banach Space

• 作 者: Cheng Bo ZHAI Zhan Dong LIANG
• 机 构: SchoolofMathematicalSciences
• 出 处: 数学研究与评论：英文版
• 发表日期: 2011年1期
• 基金项目: Supported by the Natural Science Foundation of Shanxi Province （Grant No. 20041003） and the Youth Science Foundation of Shanxi Province （Grant No. 2010021002-1）.

In this paper,we establish some relations between the Hilbert's projective metric and the norm on a Banach space and show that the metric and the norm induce equivalent convergences at certain set.As applications,we utilize the main results to discuss