Banach SSD Spaces and Classes of Monotone Sets

被引：0

作者：

Simons, S. ^{[1
]}

机构：

[1] Univ Calif Santa Barbara, Dept Math, Santa Barbara, CA 93106 USA

来源：

JOURNAL OF CONVEX ANALYSIS | 2011年 / 18卷 / 01期

关键词：

MAXIMAL MONOTONICITY; CONVEX-FUNCTIONS; OPERATORS; RANGE; PROPERTY; THEOREM;

D O I：

暂无

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In this paper, we unify the theory of SSD spaces and the theory of strongly representable sets, and we apply our results to the theory of the various classes of maximally monotone sets. In particular, we prove that type (ED), dense type, type (D), type (NI) and strongly representable are equivalent concepts and, consequently, that the known properties of strongly representable sets follow from known properties of sets of type (ED).

引用

页码：227 / 258

页数：32

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