Operators preserving orthogonality are isometries
| dc.creator | Koldobsky, Alexander | |
| dc.date | 1992-12-04 | |
| dc.date.accessioned | 2026-07-07T09:14:51Z | |
| dc.date.available | 2026-07-07T09:14:51Z | |
| dc.description | Let $E$ be a real Banach space. For $x,y \in E,$ we follow R.James in saying that $x$ is orthogonal to $y$ if $\|x+αy\|\geq \|x\|$ for every $α\in R$. We prove that every operator from $E$ into itself preserving orthogonality is an isometry multiplied by a constant. | |
| dc.identifier | https://arxiv.org/abs/math/9212203 | |
| dc.identifier | http://arxiv.org/abs/math/9212203 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/152825 | |
| dc.subject | Functional Analysis | |
| dc.subject | 46B | |
| dc.title | Operators preserving orthogonality are isometries | |
| dc.type | text |