非自反巴拿赫空间的极大单调性、共轭性和对偶积
Maximal monotonicity, conjugation and the duality product in non-reflexive Banach spaces
摘要：
巴拿赫空间上的极大单调算子在其对偶空间中可以用下面有界的凸函数来表示。很自然地要问在什么条件下凸函数表示极大单调算子。在自反巴拿赫空间的背景下，几年前已经得到了一个令人满意的答案。最近，得到了关于非自反巴拿赫空间的一个部分结果.本文研究了非自反巴拿赫空间中凸函数表示极大单调算子的其它条件。
英文摘要：
Maximal monotone operators on a Banach space into its dual can be represented by convex functions bounded below by the duality product. It is natural to ask under which conditions a convex function represents a maximal monotone operator. A satisfactory answer, in the context of reflexive Banach spaces, has been obtained some years ago. Recently, a partial result on non-reflexive Banach spaces was obtained. In this work we study some others conditions which guarantee that a convex function represents a maximal monotone operator in non-reflexive Banach spaces.
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。
