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

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inequality of norms [closed]

Let $X$ and $Y$ be two Banach spaces with norms $\|\|_X$ and $\|\|_Y$ respectively. If $Z=X\times Y$ is also a Banach space with norm $\|\|_Z$ then what is the relation between $\|\|_X,\:\|\|_Y$ and $ …
Sanket A. A. Tikare's user avatar