Faces and support functions for the values of maximal monotone operators are investigated in this paper. We establish representation formulas for the faces and use them to characterize the boundaries of the values of maximal monotone operators. The representation formulas for support functions are expressed by the limit values of the principal sections of maximal monotone operators. These formulas allow us to study the structure of maximal monotone operators: the unique determination, the local decomposition, and the global ones.

中文翻译：

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最大单调算子值的面和支持函数

本文研究了最大单调算子值的面和支持函数。我们为人脸建立表示公式，并用它们来表征最大单调算子的值的边界。支持函数的表示公式由最大单调算子的主截面的极限值表示。这些公式使我们能够研究最大单调算子的结构：唯一确定、局部分解和全局分解。