Spaces defined by the level function and their duals
Sinnamon, Gord
Studia Mathematica, Tome 108 (1994), p. 19-52 / Harvested from The Polish Digital Mathematics Library
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The classical level function construction of Halperin and Lorentz is extended to Lebesgue spaces with general measures. The construction is also carried farther. In particular, the level function is considered as a monotone map on its natural domain, a superspace of Lp. These domains are shown to be Banach spaces which, although closely tied to Lp spaces, are not reflexive. A related construction is given which characterizes their dual spaces.

Publié le : 1994-01-01
EUDML-ID : urn:eudml:doc:216117 
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Sinnamon, Gord. Spaces defined by the level function and their duals. Studia Mathematica, Tome 108 (1994) pp. 19-52. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-smv111i1p19bwm/

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