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Results tagged with fa.functional-analysis
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user 171981
Banach spaces, function spaces, real functions, integral transforms, theory of distributions, measure theory.
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Specific criterion for the sum of two closed sets to be closed
Let $Y$ and $Z$ be two closed subspaces of a Banach space $X$ with $Y\cap Z=\{0\}$.
I know that $Y+Z$ is a closed subspace of $X$ $\iff \exists \alpha > 0:\quad \lVert y\rVert \le \alpha\lVert y+z\rVe …
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