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Results tagged with banach-spaces
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user 30433
A Banach space is a complete normed vector space: A vector space equipped with a norm such that every Cauchy sequence converges.
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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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