A note on the powers of Cesàro bounded operators

Title:

A note on the powers of Cesàro bounded operators

Creator:

Léka, Zoltán

Identifier:

https://cdk.lib.cas.cz/client/handle/uuid:a1274f42-02f1-45be-9968-37463f2d3f57
uuid:a1274f42-02f1-45be-9968-37463f2d3f57

Subject:

Volterra operator and stability of operators

Type:

model:article and TEXT

Format:

bez média and svazek

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 $\lim _{n \rightarrow \infty } \|T^{n+1} - T^n\| = 0.$.

Language:

English

Rights:

http://creativecommons.org/publicdomain/mark/1.0/
policy:public

Coverage:

1091-1100

Source:

Czechoslovak Mathematical Journal | 2010 Volume:60 | Number:4

Harvested from:

CDK

Metadata only:

false