## Tbilisi Mathematical Journal

### Compact and matrix operators on the space $\left\vert A_{f}^{\theta }\right\vert _{k}$

#### 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.

#### Article information

Source
Tbilisi Math. J., Volume 12, Issue 4 (2019), 1-13.

Dates
Accepted: 15 September 2019
First available in Project Euclid: 3 January 2020

https://projecteuclid.org/euclid.tbilisi/1578020563

Digital Object Identifier
doi:10.32513/tbilisi/1578020563

Mathematical Reviews number (MathSciNet)
MR4047571

#### Citation

Gökçe, Fadime; Güleç, G. Canan Hazar. Compact and matrix operators on the space $\left\vert A_{f}^{\theta }\right\vert _{k}$. Tbilisi Math. J. 12 (2019), no. 4, 1--13. doi:10.32513/tbilisi/1578020563. https://projecteuclid.org/euclid.tbilisi/1578020563

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