Abstract
AbstractIn this work, we study characterizations of some matrix classes $(\mathcal{C}^{(\alpha )}(\ell ^{p}),\ell ^{\infty })$
(
C
(
α
)
(
ℓ
p
)
,
ℓ
∞
)
, $(\mathcal{C}^{(\alpha )}(\ell ^{p}),c)$
(
C
(
α
)
(
ℓ
p
)
,
c
)
, and $(\mathcal{C}^{(\alpha )}(\ell ^{p}),c^{0})$
(
C
(
α
)
(
ℓ
p
)
,
c
0
)
, where $\mathcal{C}^{(\alpha )}(\ell ^{p})$
C
(
α
)
(
ℓ
p
)
is the domain of Copson matrix of order α in the space $\ell ^{p}$
ℓ
p
($0< p<1$
0
<
p
<
1
). Further, we apply the Hausdorff measures of noncompactness to characterize compact operators associated with these matrices.
Publisher
Springer Science and Business Media LLC
Subject
Applied Mathematics,Discrete Mathematics and Combinatorics,Analysis
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