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Results tagged with fa.functional-analysis
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user 128011
Banach spaces, function spaces, real functions, integral transforms, theory of distributions, measure theory.
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Common eigenvector of commuting unbounded operators
Let $T$, $S$ be two self-adjoint linear operators on a Hilbert space $\mathcal{H}$ with pure point spectrum.
Then $T$ and $S$ commute if and only if they have a complete set of common eigenvectors.
Th …
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