A dual criterion for maximal monotonicity of composition operators

作者：Jeyakumar V^*; Wu Z Y

来源：Set-Valued Analysis, 2007, 15(3): 265-273.

DOI：10.1007/s11228-006-0025-5

• composition operators
• maximal monotonicity
• maximality of sum of two maximal monotone operators
• dual conditions

In this paper we present a dual criterion for the maximal monotonicity of the composition operator T := A(*)SA, where S : Y paired right arrows Y' is a maximal monotone (set-valued) operator and A: X -> Y is a continuous linear map with the adjoint A(*), X and Y are reflexive Banach spaces, and the product notation indicates composition. The dual criterion is expressed in terms of the closure condition involving the epigraph of the conjugate of Fitzpatrick function associated with S, and the operator A. As an easy application, a dual criterion for the maximality of the sum of two maximal monotone operators is also given.

• 出版日期2007-9
• 单位重庆师范大学