期刊
ANNALS OF FUNCTIONAL ANALYSIS
卷 11, 期 3, 页码 604-616出版社
SPRINGER BASEL AG
DOI: 10.1007/s43034-019-00041-0
关键词
Euler function; Almost convergence; Euler totient matrix; Mobius function; Core theorems
This paper is devoted to study the almost convergent sequence space c(F) derived by the Euler totient matrix. It is proved that the space c(F) and the space of all almost convergent sequences are linearly isomorphic. Further, the ss-dual of the space c(F) is determined and Euler totient core of a complex-valued sequence has been defined. Finally, inclusion theorems related to this new type of core are obtained.
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