2019
Том 71
№ 7

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

Hrushka Ya. I.

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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.

English version (Springer): Ukrainian Mathematical Journal 48 (1996), no. 6, pp 952-958.

Citation Example: Hrushka Ya. I. On the order of convergence of a semigroup to the identity operator // Ukr. Mat. Zh. - 1996. - 48, № 6. - pp. 847-851.

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