Degree theories and invariance of domain for perturbed maximal monotone operators in Banach spaces (Q944167)

This paper is devoted to the extension of the invariance of domain theorem to different kinds of perturbations of a maximal monotone operator \(T:X\supset D(T)\to 2^{X^*}\), where \(X\) is a real reflexive Banach space with dual \(X^*\). Namely, the authors develop an invariance of domain theory for operators of the form \[ T+C:D(T)\cap D(C)\to 2^{X^*} \] under several conditions for the operators \(T\) and \(C:X\supset D(C)\to X^*\).