On the order of convergence of a semigroup to the identity operator |
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Authors: | Ya I Grushka |
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Abstract: | We describe classes of vectors f from a Hilbert space H for which the quantity ‖T(t)f?f‖, where T(t)=e ?tA , t≥0, and A is a self-adjoint nonnegative operator in H, has a certain order of convergence to zero as t→+0. |
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