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Banach spaces, function spaces, real functions, integral transforms, theory of distributions, measure theory.

5 votes
1 answer
357 views

Is there a meaningful interpretation of an $L^i$-space?

Do complex-normed spaces exist? Is there an extension of $p$-norms to $p\in\Bbb C\setminus\Bbb R$? A while ago I thought of extending $L^p$-spaces to the complex-normed setting. After some discussions …
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