On sum of range sets of sum of two maximal monotone operators

被引：0

作者：

Pradhan, Dillip Kumar ^{[1
]}

Pattanaik, Suvendu Ranjan ^{[1
]}

机构：

[1] Natl Inst Technol Rourkela, Dept Math, Rourkela 769008, India

来源：

INTERNATIONAL JOURNAL OF NONLINEAR ANALYSIS AND APPLICATIONS | 2021年 / 12卷 / 01期

关键词：

Monotone Operator; Maximal Monotone Operator; Ultramaximal Monotone Operator; Brezis-Haraux conditions; LINEAR RELATION; DIFFERENTIAL-EQUATIONS;

D O I：

10.22075/ijnaa.2019.12171.1615

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In the setting of non-reflexive spaces (Grothendieck Banach spaces), we establish 1. <(ran(A + B))over bar> = (ran A + ran B) over bar, 2. int(ran(A + B)) = int(ran A + ran B) with the assumption that A is a maximal monotone operator and B is a single-valued maximal monotone operator such that A + B is ultramaximally monotone. Conditions (1) and (2) are known as Brezis-Haraux conditions.

引用

页码：927 / 933

页数：7

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