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Results tagged with fa.functional-analysis
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user 317937
Banach spaces, function spaces, real functions, integral transforms, theory of distributions, measure theory.
1
vote
Bounding supremum norm of Lipschitz function by L1 norm
I give a proof that gives tighter sup-norm bounds when you have control of the $L^2$ norm (or $L^q$ norm more generally). The following proof should also be generalizable to general Holder classes (e. …
- 625
6
votes
Accepted
Convergence criterion in the domain of an unbounded operator
If you have a uniform upper bound on $\|Ax_n\|$ then you can extract a weakly convergent subsequence $Ax_{n_k}$. Denote $\lim_n Ax_{n_k} = y_{\infty}$ to be the weak limit. Since $A$ is closed, it is …
- 625