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

• Datum: 1996
• Hauptverfasser: Hrushka, Ya. I., Грушка, Я. І.
• Format: Artikel
• Sprache: Ukrainisch; Englisch
• Veröffentlicht: Institute of Mathematics, NAS of Ukraine 1996
• Online Zugang: https://umj.imath.kiev.ua/index.php/umj/article/view/5285
• Назва журналу: Ukrains’kyi Matematychnyi Zhurnal

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.