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Results tagged with integral-operators
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user 165275
1
vote
Conditions for continuity of an integral functional
Since $\nu$ does not appear anywhere else in the question, I suppose that $L^1(X)=L^1(\nu)$.
In order that the functional be defined, one should then assume (probably without loss of generality) that …
- 1,869
1
vote
Structure of the inverse of a Fredholm integral operator of the second kind
Not really an answer, but some remarks:
Even if the spectral radius of $K$ is less than $1$, there are counterexamples that the resolvent need not have the required form: This is related to the fact …
- 1,869