| Article ID | Journal | Published Year | Pages | File Type |
|---|---|---|---|---|
| 9503100 | Journal of Mathematical Analysis and Applications | 2005 | 6 Pages |
Abstract
We show that a non-injective Riesz operator on an infinite-dimensional Banach space X does not determine the complete norm topology of X. We also show that an injective operator with trivial generalized range determines the complete norm topology of X. Finally this result is used to settle the crucial role of the non-injectivity condition in our first result.
Keywords
Related Topics
Physical Sciences and Engineering
Mathematics
Analysis
Authors
M. Oudghiri, M. Zohry,