Order convexity and concavity of Lorentz spaces Λ<sub>p,w</sub>, 0<p<∞
Order convexity and concavity of Lorentz spaces Λ<sub>p,w</sub>, 0<p<∞
We study order convexity and concavity of quasi-Banach Lorentz spaces ${\mit \Lambda }_{p,w}$, where $0< p< \infty $ and $w$ is a locally integrable positive weight function. We show first that ${\mit \Lambda }_{p,w}$ contains an order isomorphic copy of