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- W3197492885 abstract "Let $mathcal{M}$ be a von Neumann algebra, and let $0<p,qleinfty$. Then, the space Hom$_{mathcal{M}}(L^p(mathcal{M}),L^q(mathcal{M}))$ of all right $mathcal{M}$-module homomorphisms from $L^p(mathcal{M})$ to $L^q(mathcal{M})$ is a reflexive subspace of the space of all continuous linear maps from $L^p(mathcal{M})$ to $L^q(mathcal{M})$.Further, the space Hom$_{mathcal{M}}(L^p(mathcal{M}),L^q(mathcal{M}))$ is hyperreflexive in each of the following cases: (i) $1le q<pleinfty$; (ii) $1le p,qleinfty$ and $mathcal{M}$ is injective, in which case the hyperreflexivity constant is at most 8." @default.
- W3197492885 created "2021-09-13" @default.
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- W3197492885 date "2021-08-28" @default.
- W3197492885 modified "2023-09-27" @default.
- W3197492885 title "Hyperreflexivity of the space of module homomorphisms between non-commutative $L^p$-spaces" @default.
- W3197492885 hasPublicationYear "2021" @default.
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