Abstract
LetX and Y be closed subspaces of the Lorentz sequence space d(v, p) and the Orlicz sequence space lM, respectively. It is proved that every bounded linear operator from X to Y is compact whenever $p > \beta _M : = \inf \{ q > 0:\inf \{ M(\lambda t)/M(\lambda )t^q :0< \lambda ,t \leqslant 1\} > 0.$ As an application, the reflexivity of the space of bounded linear operators acting from d(v, p) to lM is characterized.
Funding Statement
This research was partially supported by the Estonian Science Foundation Grant 3055.
Citation
Jelena Ausekle. Eve Oja. "Compactness of operators acting from a Lorentz sequence space to an Orlicz sequence space." Ark. Mat. 36 (2) 233 - 239, October 1998. https://doi.org/10.1007/BF02384767
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