Abstract
AbstractIn this paper, we investigate some properties of the domains $c(C^{n})$
c
(
C
n
)
, $c_{0}(C^{n})$
c
0
(
C
n
)
, and $\ell _{p}(C^{n})$
ℓ
p
(
C
n
)
$(0< p<1)$
(
0
<
p
<
1
)
of the Copson matrix of order n, where c, $c_{0}$
c
0
, and $\ell _{p}$
ℓ
p
are the spaces of all convergent, convergent to zero, and p-summable real sequences, respectively. Moreover, we compute the Köthe duals of these spaces and the lower bound of well-known operators on these sequence spaces. The domain $\ell _{p}(C^{n})$
ℓ
p
(
C
n
)
of Copson matrix $C^{n}$
C
n
of order n in the sequence space $\ell _{p}$
ℓ
p
, the norm of operators on this space, and the norm of Copson operator on several matrix domains have been investigated recently in (Roopaei in J. Inequal. Appl. 2020:120, 2020), and the present study is a complement of our previous research.
Publisher
Springer Science and Business Media LLC
Subject
Applied Mathematics,Discrete Mathematics and Combinatorics,Analysis
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