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Results tagged with fa.functional-analysis
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user 30433
Banach spaces, function spaces, real functions, integral transforms, theory of distributions, measure theory.
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Absolute norms and 1-unconditional sums
Absolute norm
Let $X$ and $Y$ be Banach spaces. Let $Z=X\times Y$ a norm $\|\cdot\|_N$ on $Z$ is called absolute if there is a function $N\colon R^2\rightarrow R$ such that
$$
\|(x,y)\|_N=N((\|x\|, \ …
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