| Article ID | Journal | Published Year | Pages | File Type |
|---|---|---|---|---|
| 4618045 | Journal of Mathematical Analysis and Applications | 2012 | 6 Pages |
Abstract
We define a ρ-orthogonality in a real normed space and we consider the class of linear mappings preserving this relation. We show that a linear mapping preserving ρ-orthogonality has to be a similarity, i.e., a scalar multiple of an isometry. As a result, we give a characterization of smooth spaces in terms of this orthogonality.
Related Topics
Physical Sciences and Engineering
Mathematics
Analysis
