Turkish Journal of Mathematics
Abstract
In a more recent paper [23], Banach spaces of absolutely $k$-summable series $\left\vert T_{\phi }\right\vert _{k}$ have been introduced and studied by Sarıgöl and Agarwal. In this paper, we characterize matrix and compact operators from the space $\left\vert T_{\phi }\right\vert _{k}$ to the classical spaces $c_{0},c$ and $l_{\infty },$ by determining identities or estimates for operator norms and the Hausdorff measure of noncompactness.
DOI
10.55730/1300-0098.3138
Keywords
Absolute summability, matrix transformations, Hausdorff measure of noncompactness, compact operator, bounded operators, operator norm, sequence spaces
First Page
1004
Last Page
1019
Recommended Citation
GÖKÇE, FADİME
(2022)
"Compact matrix operators on Banach space of absolutely $k$-summable series,"
Turkish Journal of Mathematics: Vol. 46:
No.
3, Article 23.
https://doi.org/10.55730/1300-0098.3138
Available at:
https://journals.tubitak.gov.tr/math/vol46/iss3/23
