OPERATOR SUPERPOSISI PADA RUANG C(Ω) THE SUPERPOSITION OPERATOR IN THE SPACE C(Ω)

• Main Authors: , Novalin Calasin Huwaa, S.Pd, , Dr.Supama,M.Si
• Format: Theses and Dissertations NonPeerReviewed
• Published: [Yogyakarta] : Universitas Gadjah Mada 2013
• Subjects: ETD
• Online Access: https://repository.ugm.ac.id/127850/; http://etd.ugm.ac.id/index.php?mod=penelitian_detail&sub=PenelitianDetail&act=view&typ=html&buku_id=68155
• Institution: Universitas Gadjah Mada

In this thesis, we discuss about the space of continuous functions and its properties, some properties of Caratheodory function, and the superposition operators on space of continuous functions and its properties. The operator of superposition that we discuss include the superposition operator from the space of continuous functions into itself , the space of continuous functions into the space of the measurable functions and from the space of measurable functions into itself. The existence of superposition operators is guaranteed by continuity properties and sup-measurable function f which generating the superposition operator F, and the constant properties of the superposition operator F. The properties of continuity of the superposition operator F from space of continuous functions into itself is guaranteed by the properties of continuity of function f which is generated it.