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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...

Homework Statement T1, T2 and T3 are unbounded operators. What is this condition? http://T1 3. The Attempt at a Solution [/B] T2 is the identity operator and D(T3)⊂D(T1) / D is the domain of definition.