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Results tagged with banach-spaces
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user 66649
A Banach space is a complete normed vector space: A vector space equipped with a norm such that every Cauchy sequence converges.
1
vote
Accepted
Integration in C^* algebra
Yes.
$\alpha_s(A)$ is a continuous bounded function.
The function
$f(s) \alpha_s(A)$ is measurable and because of
$$\int_\mathbb{R} \|f(s) \alpha_s(A)\| ds \le \int_\mathbb{R} |f(s)| ds\, \|A\| < \ …
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