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smati
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Homework Statement
Hello,
We know that if A and B are two unbounded densely defined operators, it does not mean that AB is also densely defined. But if A is bounded then D (AB) = D (B) ie AB is densely defined.
Is AB densely defined if:
1) B is bounded and A is unbounded densely defined operator.
2) A and B are unbounded densely defined operators such that A or B is invertible of a bounded inverse.
thank you.
The Attempt at a Solution
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