caa a22 4500 463206061 CHVBK 20180405153126.0 cr unu---uuuuu 170326e20070901xx s 000 0 eng 10.1007/s11228-006-0025-5 doi (NATIONALLICENCE)springer-10.1007/s11228-006-0025-5 A Dual Criterion for Maximal Monotonicity of Composition Operators [Elektronische Daten] [V. Jeyakumar, Z. Wu] In this paper we present a dual criterion for the maximal monotonicity of the composition operator $T:=A^{\ast }SA$ , where $S:Y\rightrightarrows Y^{\,{\prime }}$ is a maximal monotone (set-valued) operator and $A: X\rightarrow Y$ is a continuous linear map with the adjoint $A^{\ast }$ , $X$ 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. Springer Science+Business Media B.V., 2006 composition operators nationallicence maximal monotonicity nationallicence maximality of sum of two maximal monotone operators nationallicence dual conditions nationallicence Jeyakumar V. School of Mathematics, University of New South Wales, 2052, Sydney, Australia aut Wu Z. Department of Mathematics, Chongqing Normal University, 400047, Chongqing, PR China aut Set-Valued Analysis Springer Netherlands 15/3(2007-09-01), 265-273 0927-6947 15:3<265 2007 15 11228 https://doi.org/10.1007/s11228-006-0025-5 text/html Onlinezugriff via DOI 1 research-article jats NATIONALLICENCE 856 40 https://doi.org/10.1007/s11228-006-0025-5 text/html Onlinezugriff via DOI NATIONALLICENCE 700 1- Jeyakumar V. School of Mathematics, University of New South Wales, 2052, Sydney, Australia aut NATIONALLICENCE 700 1- Wu Z. Department of Mathematics, Chongqing Normal University, 400047, Chongqing, PR China aut NATIONALLICENCE 773 0- Set-Valued Analysis Springer Netherlands 15/3(2007-09-01), 265-273 0927-6947 15:3<265 2007 15 11228 Metadata rights reserved Springer special CC-BY-NC licence nationallicence BK010053 XK010053 XK010000 NATIONALLICENCE NATIONALLICENCE NL-springer