OPERATOR SUPERPOSISI PADA RUANG C(Ω) THE SUPERPOSITION OPERATOR IN THE SPACE C(Ω)
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...
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| Main Authors: | , |
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| Format: | Theses and Dissertations NonPeerReviewed |
| Published: |
[Yogyakarta] : Universitas Gadjah Mada
2013
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| Subjects: | |
| 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 |
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| Institution: | Universitas Gadjah Mada |
| Summary: | 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. |
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