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- W4297623371 abstract "In this note we extend some recent results in the space of regular operators. In particular, we provide the following Banach lattice version of a classical result of Kalton: Let $E$ be an atomic Banach lattice with an order continuous norm and $F$ a Banach lattice. Then the following are equivalent: (i) $L^r(E,F)$ contains no copy of $ell_infty$, ,, (ii) $L^r(E,F)$ contains no copy of $c_0$, ,, (iii) $K^r(E,F)$ contains no copy of $c_0$, ,, (iv) $K^r(E,F)$ is a (projection) band in $L^r(E,F)$, ,, (v) $K^r(E,F)=L^r(E,F)$." @default.
- W4297623371 created "2022-09-30" @default.
- W4297623371 creator A5048275102 @default.
- W4297623371 date "2013-10-06" @default.
- W4297623371 modified "2023-09-25" @default.
- W4297623371 title "A version of Kalton's theorem for the space of regular operators" @default.
- W4297623371 doi "https://doi.org/10.48550/arxiv.1310.1591" @default.
- W4297623371 hasPublicationYear "2013" @default.
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