A NEW BANACH SPACE DEFINED BY EULER TOTIENT MATRIX OPERATOR

İlkhan, MerveKara, Emrah Evren2020-04-302020-04-3020191846-3886https://doi.org/10.7153/oam-2019-13-40https://hdl.handle.net/20.500.12684/2394Ilkhan, Merve/0000-0002-0831-1474WOS: 000477983100021The main object of this paper is to introduce a new Banach space derived by using a matrix operator which is comprised of Euler's totient function. Also, we determine alpha, beta, gamma-duals of this space and characterize some matrix classes on this new space. Finally, we obtain necessary and sufficient conditions for some matrix operators to be compact.en10.7153/oam-2019-13-40info:eu-repo/semantics/openAccessEuler functionMobius functionsequence spacesmatrix operatorscompact operatorsHausdorff measure of noncompactnessA NEW BANACH SPACE DEFINED BY EULER TOTIENT MATRIX OPERATORArticle132527544WOS:000477983100021Q3Q4