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Results tagged with fa.functional-analysis
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user 19506
Banach spaces, function spaces, real functions, integral transforms, theory of distributions, measure theory.
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Bounded linear functionals and representations
Suppose that $A$ is a unital C$^*$-algebra and that $\varphi: A \to \mathbb{C}$ is a bounded linear functional. Then there exists a Hilbert space $H$, a representation $\pi: A \to B(H)$ and vectors $\ …
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