Spectrum of weighted composition operators. II: Weighted composition operators on subspaces of Banach lattices (Q369638)

The author describes the spectrum of weighted \(d\)-isomorphisms of Banach lattices restricted on closed subspaces that are \textit{rich} enough to preserve some \textit{memory} of the order structure of the original lattice. He also gives the examples: weighted isometries of Hardy spaces on the polydisk and unit ball in \(\mathbb C^n\). Part I appeared in [Positivity 15, No.~4, 639--659 (2011; Zbl 1284.47023)].