1. A note on the powers of Cesàro bounded operators Creator: Léka, Zoltán Format: bez média and svazek Type: model:article and TEXT Subject: Volterra operator and stability of operators Language: English Description: In this note we give a negative answer to Zem�nek's question (1994) of whether it always holds that a Cesàro bounded operator $T$ on a Hilbert space with a single spectrum satisfies $\lim _{n \rightarrow \infty } \|T^{n+1} - T^n\| = 0.$. Rights: http://creativecommons.org/publicdomain/mark/1.0/ and policy:public