We describe the spectrum of weighted $$d$$ -isomorphisms of Banach lattices restricted on closed subspaces that are “rich” enough to preserve some “memory” of the order structure of the original lattice. The examples include (but are not limited to) weighted isometries of Hardy spaces on the polydisk and unit ball in $$\mathbb C ^n$$ .
Positivity – Springer Journals
Published: Nov 5, 2012
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