Euler Totient Matrisi Tarafından Tanımlanan Yeni Bir Paranormlu Dizi Uzayı

Year 2019, Volume: 9 Issue: 2, 277 - 282, 01.06.2019

Merve İlkhan Serkan Demiriz Emrah Evren Kara

https://doi.org/10.7212/zkufbd.v9i2.1469

Cited By: 1

Abstract

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

Keywords

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

A New Paranormed Sequence Space Defined by Euler Totient Matrix

Abstract

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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