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Results tagged with unbounded-operators
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user 12120
8
votes
Accepted
why is this a sufficient condition for a domain to be a core of an unbounded operator?
This is stated and proved as Proposition 2.20 here:
https://isem-mathematik.uibk.ac.at/isemwiki/images/9/94/ISEM15_Lecture2.pdf
- 13k
2
votes
Example of a linear operator whose graph is not closed
On $L^2(R)$, consider the densely defined operator $u\mapsto \int u\,dx$, defined on $L^2\cap L^1$. This operator is neither closed nor closable. If you want the operator defined on all of X, with X i …
- 13k
1
vote
Accepted
Smooth dependence of the spectrum on the operator
Look at Kato's book on Perturbation Theory for Linear Operators.
- 13k