Journal
OPERATORS AND MATRICES
Volume 13, Issue 2, Pages 527-544Publisher
ELEMENT
DOI: 10.7153/oam-2019-13-40
Keywords
Euler function; Mobius function; sequence spaces; matrix operators; compact operators; Hausdorff measure of noncompactness
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The 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.
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