Invariance of Domain for A G ( S + ) − Operators

نویسنده

  • Dhruba R. Adhikari
چکیده

Let X be a real reflexive Banach space and X∗ its dual space. Let T : X ⊃ D(T ) → 2X be an operator of class AG(S+), where G ⊂ X is open. An invariance of domain result for T will be discussed. This result extends a similar result of Park for single-valued operators of type (S+). The Skrypnik’s topological degree theory is used, utilizing approximating schemes of operators of class AG(S+), along with the methodology of a recent invariance of domain result by Kartsatos and the author.

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تاریخ انتشار 2016