The space bv, the set of all bounded variation sequences, has an important role in the summability theory. In recent study, this spaces has been extended to the space and some matrix class on this space has been characterized [2]. In the present paper, for 1 ≤ k < ∞, computing Hausdorff measure of non-compactness, we characterize compact operators in the class (bv, ), where θ is a sequence of positive numbers.
REFERENCES
1.
E.
Malkowsky
, V.
Rakočeviá
and S.
Živković
, Matrix transformations between the sequence space bvk and certain BK spaces
, Bull. Cl. Sci. Math. Nat. Sci. Math
. 123
, 33
–46
(2002
).2.
G. C.
Hazar
and M. A.
Sarıgöl
, “The space and matrix transformations
,” in Proceedings of the 8th Internetional Eurasian Conference On Mathematical Sciences And Applications Baku
, Azerbaijan
, (2019
), (in press).3.
E.
Malkowsky
and V.
Rakočević
, An introduction into the theory of sequence space and measures of non-compactness
, Zb. Rad. (Beogr)
17
, 143
–234
(2000
).4.
V.
Rakočević
, Measures of noncompactness and some applications
, Filomat
12
, 87
–120
(1998
).5.
M. A.
Sarıgöl
, Extension of Mazhar’s theorem on summability factors
, Kuwait J. Sci
. 42
, 3
, 28
–35
(2015
).6.
M.
Stieglitz
and H.
Tietz
, Matrixtransformationen von Folgenraumen Eine Ergebnisüberischt
, Math Z
. 154
, 1
, 1
–16
(1977
).
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