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On the order of convergence of a semigroup to the identity operator

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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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References

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Authors
  1. Ya. I. Grushka
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Grushka, Y.I. On the order of convergence of a semigroup to the identity operator. Ukr Math J 48, 952–958 (1996). https://doi.org/10.1007/BF02384180

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  • DOI: https://doi.org/10.1007/BF02384180

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