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- W3163250249 abstract "A bounded linear operator T: H1 → H2, where H1, H2 are Hilbert spaces, is said to be norm attaining if there exists a unit vector x ∈ H1 such that kT xk = kT k and absolutely norm attaining (or AN -operator) if T |M: M → H2 is norm attaining for every closed subspace M of H1. We prove a structure theorem for positive operators in β(H):= {T ∈ B(H): T |M: M → M is norm attaining for all M ∈ RT }, where RT is the set of all reducing subspaces of T . We also compare our results with those of absolutely norm attaining operators. Later, we characterize all operators in this new class." @default.
- W3163250249 created "2021-05-24" @default.
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- W3163250249 date "2021-06-01" @default.
- W3163250249 modified "2023-10-16" @default.
- W3163250249 title "On a subclass of norm attaining operators" @default.
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- W3163250249 doi "https://doi.org/10.14232/actasm-020-426-9" @default.
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