## Abstract and Applied Analysis

- Abstr. Appl. Anal.
- Volume 2014, Special Issue (2014), Article ID 567317, 6 pages.

### Compact Operators for Almost Conservative and Strongly Conservative Matrices

S. A. Mohiuddine, M. Mursaleen, and A. Alotaibi

#### Abstract

We obtain the necessary and sufficient conditions for an almost conservative matrix to define a compact operator. We also establish some necessary and sufficient (or only sufficient) conditions for operators to be compact for matrix classes $(f,X)$, where $X=c,{c}_{0},{l}_{\infty}$. These results are achieved by applying the Hausdorff measure of noncompactness.

#### Article information

**Source**

Abstr. Appl. Anal., Volume 2014, Special Issue (2014), Article ID 567317, 6 pages.

**Dates**

First available in Project Euclid: 7 October 2014

**Permanent link to this document**

https://projecteuclid.org/euclid.aaa/1412687047

**Digital Object Identifier**

doi:10.1155/2014/567317

**Mathematical Reviews number (MathSciNet)**

MR3191053

**Zentralblatt MATH identifier**

07022621

#### Citation

Mohiuddine, S. A.; Mursaleen, M.; Alotaibi, A. Compact Operators for Almost Conservative and Strongly Conservative Matrices. Abstr. Appl. Anal. 2014, Special Issue (2014), Article ID 567317, 6 pages. doi:10.1155/2014/567317. https://projecteuclid.org/euclid.aaa/1412687047