Spectrum of weighted composition operators. Part II: weighted composition operators on subspaces of Banach lattices
Copyright policy )Spectrum of weighted composition operators. Part II: weighted composition operators on subspaces of Banach lattices
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 $\mathds{C}^n$.
- Community College of Philadelphia United States
Linear operators on Banach algebras, Mathematics - Functional Analysis, Primary 47B33, Secondary 47B48, 46B60, Linear composition operators, disjointness preserving operators, FOS: Mathematics, Linear operators on ordered spaces, spectrum, Functional Analysis (math.FA)
Linear operators on Banach algebras, Mathematics - Functional Analysis, Primary 47B33, Secondary 47B48, 46B60, Linear composition operators, disjointness preserving operators, FOS: Mathematics, Linear operators on ordered spaces, spectrum, Functional Analysis (math.FA)
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