非自反巴拿赫空间中凸函数表示的单调算子的Bronsted-Rockafellar性质和极大值
Bronsted-Rockafellar property and maximality of monotone operators representable by convex functions in non-reflexive Banach spaces
摘要：
本文研究了非自反巴拿赫空间中可由某些凸函数表示的单调算子的极大性。我们还证明了这些极大单调算子满足Bronsted-Rockafellar型性质。我们证明了如果X × X ^* 中的一个函数及其共轭在它们各自的定义域上的对偶积上，则这个函数表示一个极大单调算子。
英文摘要：
In this work we are concerned with maximality of monotone operators representable by certain convex functions in non-reflexive Banach spaces. We also prove that these maximal monotone operators satisfy a Bronsted-Rockafellar type property. We show that if a function in XxX^* and its conjugate are above the duality product in their respective domains, then this function represents a maximal monotone operator.
机构、总结、中文摘要均由AI分析而来，可能存在错误，请以论文正文为准。
