【摘要】 连续线性泛函表示是泛函分析的一个重要分支。弗雷歇和里斯在连续线性泛函表示方面做出了重要工作。通过文献考证和历史分析,从目的、方法、影响3个方面详细比较分析了二人在同一工作中的本质区别,阐述了他们研究风格不同的内在原因。为泛函分析的教学提供历史视角。更多还原

【Abstract】 The representation of continuous linear functional is one of the important branches in functional analysis.Both Fréchet and Riesz did important work on representation of continuous linear functional.By literature review and historic analysis,it is to compare and analyze the essential difference from objection,method and influence in their work,outline the internal reason lying in their differences,which furnishes historic background for teaching of functional analysis.更多还原