MERVE İLKHAN, SERKAN DEMİRİZ, EMRAH EVREN KARA

Euler Totient Matrisi Tarafından Tanımlanan Yeni Bir Paranormlu Dizi Uzayı

Bu çalışmada, Euler Totient fonksiyonu ile oluşturulan regüler bir matrisin kullanılmasıyla, yeni bir paranormlu uzay olan , Φ,p uzayını tanımladık ve bu uzayın , p uzayına lineer izomorf olduğunu gösterdik. Ayrıca bu uzayın α-,β-,γ-duallerini ve Schauder bazını hesapladık

Anahtar Kelimeler:

α-, β-, γ-dualleri, Euler totient fonksiyonu, Möbius fonksiyonu, Paranormlu dizi uzayı

A New Paranormed Sequence Space Defined by Euler Totient Matrix

In the present paper, by using the regular matrix given by Euler Totient function, we give a new paranormed sequence space l Φ,p and prove that the spaces l Φ,p and l p are linearly isomorphic. Also, we compute some dual spaces and the Schauder basis of this space.

Keywords:

Paranormed sequence space, α-, β-, γ-duals, Euler totient function, Möbius function.,

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