- Tytuł:
- Almost convergent sequence spaces derived by the domain of quadruple band matrix
- Autorzy:
- Bişgin, Mustafa Cemil
- Powiązania:
- https://bibliotekanauki.pl/articles/1794787.pdf
- Data publikacji:
- 2020-07-06
- Wydawca:
- Uniwersytet Pedagogiczny im. Komisji Edukacji Narodowej w Krakowie
- Tematy:
-
matrix domain
Schauder basis
beta- and gamma-duals
Banach Limits
almost convergence and matrix classes - Opis:
- In this work, we construct the sequence spaces $f(Q(r,s,t,u))$, $f_0(Q(r,s,t,u))$ and $f_s(Q(r,s,t,u))$, where $Q(r,s,t,u)$ is quadruple band matrix which generalizes the matrices $Δ^{3}$, $B(r,s,t)$, $Δ^{2}$, $B(r,s)$ and $Δ$, where $Δ^{3}$, $B(r,s,t)$, $Δ^{2}$, $B(r,s)$ and $Δ$ are called third order difference, triple band, second order difference, double band and difference matrix, respectively. Also, we prove that these spaces are BK-spaces and are linearly isomorphic to the sequence spaces $f$, $f_0$ and $f_s$, respectively. Moreover, we give the Schauder basis and $β$-, $γ$-duals of those spaces. Lastly, we characterize some matrix classes related to those spaces.
- Źródło:
-
Annales Universitatis Paedagogicae Cracoviensis. Studia Mathematica; 2020, 19; 155-170
2300-133X - Pojawia się w:
- Annales Universitatis Paedagogicae Cracoviensis. Studia Mathematica
- Dostawca treści:
- Biblioteka Nauki
Artykuł