The Banach Spaces L(Infinity)(C(0)) And C(0)(L(Infinity)) Are Not Isomorphic
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2010
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Elsevier
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Abstract
The statement of the title is proved. It follows from this that the spaces c(0)(l(p)), l(p)(c(0)) and l(p)(l(q)), 1 <= p, q <= +infinity, make a family of mutually non-isomorphic Banach spaces.