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Cantor tipi kümelerde düzgün fonksiyonların Banach uzayında baz bulunması

2013
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Advisor: Doç. Dr. Alexandre Goncharov

Abstract (EN)

We construct Schauder bases in the spaces of continuous functions $C^p(K)$ and in the Whitney spaces $\mathcal{E}^p(K)$ where $K$ is a Cantor-type set. Here different Cantor-type sets are considered. In the construction, local Taylor expansions of functions are used. Also we show that the Schauder basis which we constructed in the space $C^p(K)$, is conditional.

Author

Dr. Necip Özfidan

How to Cite

Necip Özfidan (Doctorate thesis). Cantor tipi kümelerde düzgün fonksiyonların Banach uzayında baz bulunması, 2013, Bilkent University, Matematik Bölümü.

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