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Results tagged with convex-analysis
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user 11236
2
votes
Accepted
Known Results on Convexity of Numerical Range
The only result of this nature that I'm aware of (beyond the two cases involving $M$ and $N$ that you've listed) is Theorem 3.1 in "C.-K. Li and Y.-T. Poon. Convexity of the joint numerical range. SIA …
- 6,351
12
votes
Conditions for including cones
Iosif Pinelis already gave a nice solution to show that the answer is "no" for sets of infinitely many vectors, and thus for $N$ very large. I'll show that the answer is also "no" even for some set of …
- 6,351