Sobolev spaces in several variables inL 1-type norms are not isomorphic to Banach lattices |
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| Authors: | Aleksander Pełczyński Michał Wojciechowski |
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| Affiliation: | (1) Institute of Mathematics, Polish Academy of Sciences, Sniadeckich 8, Ip., PL-00-950 Warszawa, Poland |
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| Abstract: | A Sobolev space in several variables in anL 1-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. Both authors were supported in part by the Polish KBN grant 2P03A 036 14. |
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