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- W2040803081 abstract "For Banach lattices E and F, L(E,F) is the space of all continuous linear operators E→F, Lr(E,F) is the vector space of all regular continuous linear operators E→F which is endowed with the r-norm. This paper concerns the problems: (1) is every continuous linear operator E→F regular? (2) if the answer to (1) is “yes”, there is a further problem: is its operator norm in L(E,F) equal to its r-norm in Lr(E,F)? A series of conclusions is obtained for cases in which each of E and F is one of Banach lattices lp (1≤p < ∞), l∞, c0, c, C[0,1] and C(X)." @default.
- W2040803081 created "2016-06-24" @default.
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- W2040803081 date "1984-01-01" @default.
- W2040803081 modified "2023-09-27" @default.
- W2040803081 title "On whether or not L(E, F) = Lr(E, F) for some classical Banach lattices E and F" @default.
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- W2040803081 doi "https://doi.org/10.1016/1385-7258(84)90027-1" @default.
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