Property $(T_{L^{\Phi }})$ and property $(F_{L^{\Phi }})$ for Orlicz spaces $L^{\Phi }$

Mamoru Tanaka

An Orlicz space $L^{\Phi }(\Omega )$ is a Banach function space defined by using a Young function $\Phi$, which generalizes the $L^p$ spaces. We show that, for a reflexive Orlicz space $L^Φ([0,1]…