The compactness of the sum of weighted composition operators on the ball algebra
<p>Abstract</p> <p>In this paper, we investigate the compactness of the sum of weighted composition operators on the unit ball algebra, and give the characterization of compact differences of two weighted composition operators on the ball algebra. The connectness of the topological...
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2011-01-01
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| Series: | Journal of Inequalities and Applications |
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| Online Access: | http://www.journalofinequalitiesandapplications.com/content/2011/1/45 |
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doaj-9be1508b88b74ce48628a5ad5cda12172020-11-24T21:27:20ZengSpringerOpenJournal of Inequalities and Applications1025-58341029-242X2011-01-012011145The compactness of the sum of weighted composition operators on the ball algebraTong Ce-ZhongZhou Ze-Hua<p>Abstract</p> <p>In this paper, we investigate the compactness of the sum of weighted composition operators on the unit ball algebra, and give the characterization of compact differences of two weighted composition operators on the ball algebra. The connectness of the topological space consisting of non-zero weighted composition operators on the unit ball algebra is also studied.</p> <p>2000 <it>Mathematics Subject Classification</it>. Primary: 47B33; Secondary: 47B38, 46E15, 32A36.</p> http://www.journalofinequalitiesandapplications.com/content/2011/1/45Weighted composition operatorBall algebraSumDifferenceInequality |
| collection |
DOAJ |
| language |
English |
| format |
Article |
| sources |
DOAJ |
| author |
Tong Ce-Zhong Zhou Ze-Hua |
| spellingShingle |
Tong Ce-Zhong Zhou Ze-Hua The compactness of the sum of weighted composition operators on the ball algebra Journal of Inequalities and Applications Weighted composition operator Ball algebra Sum Difference Inequality |
| author_facet |
Tong Ce-Zhong Zhou Ze-Hua |
| author_sort |
Tong Ce-Zhong |
| title |
The compactness of the sum of weighted composition operators on the ball algebra |
| title_short |
The compactness of the sum of weighted composition operators on the ball algebra |
| title_full |
The compactness of the sum of weighted composition operators on the ball algebra |
| title_fullStr |
The compactness of the sum of weighted composition operators on the ball algebra |
| title_full_unstemmed |
The compactness of the sum of weighted composition operators on the ball algebra |
| title_sort |
compactness of the sum of weighted composition operators on the ball algebra |
| publisher |
SpringerOpen |
| series |
Journal of Inequalities and Applications |
| issn |
1025-5834 1029-242X |
| publishDate |
2011-01-01 |
| description |
<p>Abstract</p> <p>In this paper, we investigate the compactness of the sum of weighted composition operators on the unit ball algebra, and give the characterization of compact differences of two weighted composition operators on the ball algebra. The connectness of the topological space consisting of non-zero weighted composition operators on the unit ball algebra is also studied.</p> <p>2000 <it>Mathematics Subject Classification</it>. Primary: 47B33; Secondary: 47B38, 46E15, 32A36.</p> |
| topic |
Weighted composition operator Ball algebra Sum Difference Inequality |
| url |
http://www.journalofinequalitiesandapplications.com/content/2011/1/45 |
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