On weakly D-differentiable operators
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d-differentiableoperatorweaklyboundedconditionsd-differentiabilitydifferentiableequivalent
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For an unbounded self-adjoint operator D on a Hilbert space H and a bounded operator a on H we say that a is weakly D-differentiable if for any pair of vectors x, y in H the function <exp(itD) a exp(-itD)x, y> is differentiable at t =0. We find several conditions which are all equivalent to weak D-differentiability.
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