October 2019 Compact and matrix operators on the space $\left\vert A_{f}^{\theta }\right\vert _{k}$
Fadime Gökçe, G. Canan Hazar Güleç
Tbilisi Math. J. 12(4): 1-13 (October 2019). DOI: 10.32513/tbilisi/1578020563

Abstract

In this study, we introduce a new space $\left\vert A_{f}^{\theta}\right\vert_{k}$ by using factorable matrix and investigate its certain topological and algebraic structures where $\theta$ is a positive sequence. Also, we characterize some matrix operators on this space and determine their norms and the Hausdorff measure of noncompactness. In the particular case, we get some well known results.

Citation

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Fadime Gökçe. G. Canan Hazar Güleç. "Compact and matrix operators on the space $\left\vert A_{f}^{\theta }\right\vert _{k}$." Tbilisi Math. J. 12 (4) 1 - 13, October 2019. https://doi.org/10.32513/tbilisi/1578020563

Information

Received: 21 January 2019; Accepted: 15 September 2019; Published: October 2019
First available in Project Euclid: 3 January 2020

zbMATH: 07179167
MathSciNet: MR4047571
Digital Object Identifier: 10.32513/tbilisi/1578020563

Subjects:
Primary: 40C05
Secondary: 40D25 , 40F05 , 46A45

Keywords: ‎compact‎ ‎operators , factorable matrices , ‎Hausdorff measure of noncompactness , matrix transformations , Norms , sequence spaces

Rights: Copyright © 2019 Tbilisi Centre for Mathematical Sciences

Vol.12 • No. 4 • October 2019
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