Hilbert points in Hilbert space-valued $L^p$ spaces

Ole Fredrik Brevig, Sigrid Grepstad

Let $H$ be a Hilbert space and $(\Omega ,\mathcal{F},\mu )$ a probability space. A Hilbert point in $L^p(\Omega ;H)$ is a nontrivial function $\phi$ such that $\Vert \phi {\Vert }_p\le \Vert \phi +f{\Vert }_p$ whenever $\la…