In this paper the major cone and the strict major cone in real infinite-dimensional linear space is introduced, through which we define the major-order, and their properties are also discussed.

本文引入实无限维线性空间中的较多锥和严格较多锥，利用它们定义较多序，讨论较多序的性质，由此得出，实无限维线性空间中的任何两个元素都可以按较多序进行比较。

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