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- W4387635594 abstract "We introduce inner band projections in the space of regular operators on a Dedekind complete Banach lattice and study some structural properties of this class. In particular, we provide a new characterization of atomic order continuous Banach lattices as those for which all band projections in the corresponding space of regular operators are inner. We also characterize the multiplication operators $L_AR_B$ which are band projections precisely as those with $A,B$ being band projections up to a scalar multiple." @default.
- W4387635594 created "2023-10-14" @default.
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- W4387635594 date "2023-10-12" @default.
- W4387635594 modified "2023-10-15" @default.
- W4387635594 title "Band projections in spaces of regular operators" @default.
- W4387635594 doi "https://doi.org/10.48550/arxiv.2310.08318" @default.
- W4387635594 hasPublicationYear "2023" @default.
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