Matrix Domain of a Regular Matrix Derived by Euler Totient Function in the Spaces c(0) and c

Yükleniyor...
Küçük Resim

Tarih

2020

Dergi Başlığı

Dergi ISSN

Cilt Başlığı

Yayıncı

Springer Basel Ag

Erişim Hakkı

info:eu-repo/semantics/closedAccess

Özet

The main purpose of this manuscript is to introduce Banach spaces c(0)(Phi) and c(Phi) as the matrix domain of a regular matrix Phi derived by the Euler totient function. These spaces consist of phi-convergent to zero and phi-convergent sequences, respectively. After determining alpha-, beta- and gamma-duals of these spaces, some matrix classes are characterized. Finally, using the Hausdorff measure of noncompactness, the characterization of some classes of compact operators on the space c(0)(Phi) is given.

Açıklama

Anahtar Kelimeler

Euler function, Mobius function, sequence spaces, matrix operators, compact operators, Hausdorff measure of noncompactness, Sequence-Spaces, Convergence

Kaynak

Mediterranean Journal Of Mathematics

WoS Q Değeri

Q2

Scopus Q Değeri

Q2

Cilt

17

Sayı

1

Künye