Injective isometries in Orlicz spaces
| dc.creator | Randrianantoanina, Beata | |
| dc.date | 1998-12-09 | |
| dc.date.accessioned | 2026-07-07T05:27:11Z | |
| dc.date.available | 2026-07-07T05:27:11Z | |
| dc.description | We show that injective isometries in Orlicz space $L_M$ have to preserve disjointness, provided that Orlicz function $M$ satisfies $Δ_2$-condition, has a continuous second derivative $M''$, satisfies another ``smoothness type'' condition and either $\lim_{t\to0} M''(t) = \infty$ or $M''(0) = 0$ and $M''(t)>0$ for all $t>0$. The fact that surjective isometries of any rearrangement-invariant function space have to preserve disjointness has been determined before. However dropping the assumption of surjectivity invalidates the general method. In this paper we use a differential technique. | |
| dc.description | 20 pages, 2 figures, to appear in the Proceedings of the Third Conference on Function Spaces held in Edwardsville in May 1998, Contemporary Math | |
| dc.identifier | https://arxiv.org/abs/math/9812062 | |
| dc.identifier | http://arxiv.org/abs/math/9812062 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/77827 | |
| dc.subject | Functional Analysis | |
| dc.subject | 46B | |
| dc.title | Injective isometries in Orlicz spaces | |
| dc.type | text |