Title: Banach-Alaoglu theorem for Hilbert $H^*$-module,
Abstract: We provided an analogue Banach-Alaoglu theorem for Hilbert $H^*$-module. We
construct a $\Lambda$-weak$^*$ topology on a Hilbert $H^*$-module over a proper
$H^*$-algebra $\Lambda$, such that the unit ball is compact with respect to
$\Lambda$-weak$^*$ topology.