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Results tagged with hilbert-spaces
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user 59219
A Hilbert space $H$ is a real or complex vector space endowed with an inner product such that $H$ is a complete metric space when endowed with the norm induced by this inner product.
5
votes
1
answer
374
views
Sufficient criteria for $X \subset \mathcal{H}$ to be a Lipschitz (or unif. cont.) retract o...
I am interested in sufficient criteria which ensure that a subset $X$ of a Hilbert space $\mathcal{H}$ is a Lipschitz (or at least uniformly continuous) retract of $\mathcal{H}$.
Under which condi …
- 734
1
vote
Accepted
Insights about a frame-like inequality
Yes, your starting inequality can only hold if $H$ has finite dimensional range. In fact, the dimension can be at most $q$.
To see this, let $Y$ denote the range of $H$. Your inequality implies (why? …
- 734