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Mutually non isomorphic mixed-norm Lebesgue spaces https://arxiv.org/abs/2411.10576 #mathFA

Mutually non isomorphic mixed-norm Lebesgue spaces

We prove that for $1\le p,q\le\infty$ the mixed-norm spaces $L_q(L_p)$ are mutually non-isomorphic, with the only exception that $L_q(L_2)$ is isomorphic to $L_q(L_q)$ for all $1<q<\infty$.

arXiv.org
November 20, 2024 at 3:10 AM · · feed2toot · 0 · 0 · 0
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