A New Paranormed Sequence Space Defined by Euler Totient Matrix

Merve İlkhan, Serkan Demiriz, Emrah Evren Kara


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.


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

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DOI: http://dx.doi.org/10.7212%2Fzkufbd.v9i2.1469

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