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

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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Bibliographic Details
Date:1996
Main Authors: Hrushka, Ya. I., Грушка, Я. І.
Format: Article
Language:Ukrainian
English
Published: Institute of Mathematics, NAS of Ukraine 1996
Online Access:https://umj.imath.kiev.ua/index.php/umj/article/view/5285
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Journal Title:Ukrains’kyi Matematychnyi Zhurnal
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Ukrains’kyi Matematychnyi Zhurnal