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Inclusion theorems for some sets of sequences defined by $φ$-functions

In: Mathematica Slovaca, vol. 54, no. 3
Enno Kolk - Annemai Mölder
Detaily:
Rok, strany: 2004, 267 - 279
O článku:
For a sequence space $λ$ and a sequence of $φ$@-functions $F=(fk)$ let $λρ(F)=\{x=(xk): F(x/ρ)\inλ\}$ ($ρ>0$), $λ\exists(F)=\bigcupρ>0λρ(F)$ and $\topsmash{λ\forall(F)=\bigcapρ>0λρ(F)}$, where $F(x)=(fk(|xk|))$. We give necessary and sufficient conditions for the inclusions of the type $λ\subsetμρ(F)$, $λ\subsetμ\forall(F)$, $λρ(F)\subsetμ$ and $λ\exists(F)\subsetμ$, where $λ,μ\in\{m,c0,\ellp\}$. Some special cases are also considered.
Ako citovať:
ISO 690:
Kolk, E., Mölder, A. 2004. Inclusion theorems for some sets of sequences defined by $φ$-functions. In Mathematica Slovaca, vol. 54, no.3, pp. 267-279. 0139-9918.

APA:
Kolk, E., Mölder, A. (2004). Inclusion theorems for some sets of sequences defined by $φ$-functions. Mathematica Slovaca, 54(3), 267-279. 0139-9918.