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Results tagged with open-problems
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user 165275
If it turns out that a problem is equivalent to a known open problem, then the open-problem tag is added. After that, the question essentially becomes, "What is known about this problem? What are some possible ways to approach this problem? What are some ways that people have tried to attack it before, and with what results?"
4
votes
Noteworthy, but not so famous conjectures resolved recent years
The famous Nussbaum conjecture stated that every continuous map of a closed ball in a Banach space with a compact iterate (i.e. the iterate has relatively compact range) has a fixed point. Again Rober …
2
votes
Noteworthy, but not so famous conjectures resolved recent years
Not sure whether this counts as recent enough:
Robert Cauty proved 2001 the Schauder conjecture that every continuous map of a nonempty compact convex subset of a topological vector space (not necessa …
1
vote
Accepted
Simple example of Hammerstein integral equation
It is a question what is reasonable and whether you can conclude something interesting from it: If, for instance, the integral operator with kernel $\lvert K\rvert$ acts in $L_\infty$ and $f$ grows su …
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