## Abstract and Applied Analysis

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

#### 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

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

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