关于对偶映射的极大单调性

<正> 本文证明了实Banach空间上的对偶映射是极大单调的。虽然这一结果可以作为〔1〕中TheoremA的一种特殊情况,但是本文的证明方法与〔1〕是完全不同的,是完全新的。 我们用Z表示任一实Banach空间,Z~*表示Z的对偶空间,F:Z—→Z~*表示Z的对偶映射,即

On the Maximal Monotonicity of Duality Mapping

In this paper we shall give a direct and simple proof of a well known fact that the duality mapping of the real Banach space is maximal monotone. Though this result can be regarded as a particular case of Theorem A in (1), the method of proof in this paper is completely new and different from that of 1].