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7
votes
Operator norm and spectrum
The major point here is that, for an operator $S$ on a Banach space (or Hilbert space) $X$, the number $\sup_{x \in X \setminus\{0\}} \frac{\|Sx\|}{\|x\|}$ is not the spectral radius of $S$ but the op …
10
votes
Accepted
Trace norm of operators obtained by restricting the matrix of a trace class operator
Here's an algorithm for testing an ad-hoc conjecture $C$ about Hilbert space operators. :-)
Set up the runtime environment correctly by loading the information "Most conjectures are false" into short …