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A new regular infinite matrix defined by Jordan totient function and its matrix domain in ℓ p
Author(s) -
İlkhan Merve,
Şimşek Necip,
Kara Emrah Evren
Publication year - 2021
Publication title -
mathematical methods in the applied sciences
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.719
H-Index - 65
eISSN - 1099-1476
pISSN - 0170-4214
DOI - 10.1002/mma.6501
Subject(s) - euler's totient function , mathematics , matrix function , matrix (chemical analysis) , function (biology) , pure mathematics , domain (mathematical analysis) , space (punctuation) , discrete mathematics , algebra over a field , symmetric matrix , mathematical analysis , computer science , euler's formula , quantum mechanics , eigenvalues and eigenvectors , physics , materials science , evolutionary biology , composite material , biology , operating system
In this paper, we first define a new regular matrix by using the arithmetic function called Jordan totient function and study the matrix domain of this newly introduced matrix in the Banach space ℓ p . After computing the dual spaces of this new space, we characterize certain matrix mappings related to this space.