Abstract
A Sobolev space in several variables in an L1-type norm is not complemented in its second dual. Hence it is not isomorphic as a Banach space to any complemented subspace of a Banach lattice.
Funding Statement
Both authors were supported in part by the Polish KBN grant 2P03A 036 14.
Citation
Aleksander Pełczyński. Michał Wojciechowski. "Sobolev spaces in several variables in L1-type norms are not isomorphic to Banach lattices." Ark. Mat. 40 (2) 363 - 382, October 2002. https://doi.org/10.1007/BF02384541
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