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I made the title more informative and added a subject tag

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edit approved May 13, 2016 at 7:02

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Can $L^p(\mathbb{R})$ vs.$and $ L^q(\mathbb{R})$ be isomorphic?

fa.functional-analysis banach-spaces

Post Reopened by Bill Johnson, Deane Yang, Denis Serre, Willie Wong, Mark Meckes

occurred Nov 2, 2011 at 15:05

Post Closed as "too localized" by Simon Thomas, user6976, Matthew Daws, Chandan Singh Dalawat, Benoît Kloeckner

occurred Nov 1, 2011 at 14:15

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edited Nov 1, 2011 at 13:54

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ca.analysis-and-odes fa.functional-analysis

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asked Nov 1, 2011 at 13:37

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$L^p(\mathbb{R})$ vs.$ L^q(\mathbb{R})$

Let $p,q \in (1,\infty)$ with $p\neq q$. Are the Banach spaces $L^p(\mathbb{R})$, $L^q(\mathbb{R})$ isomorphic?

ca.analysis-and-odes