Skip to the main content

Original scientific paper

On Landau's type inequalities for infinitesimal generators

H. Kraljević


Full text: english pdf 150 Kb

versions

page 111-120

downloads: 446

cite


Abstract

We consider Landau's type inequalities of the form
\[\|A^k u\|^n\leq C_{n,k}\|u\|^{n-k}\|A^n u\|^k,\;\;\;u\in D(A^n),\;\;\;0 where A is the infinitesimal generator of either a strongly continuous
semigroup or a strongly continuous cosine function of linear contractions on a Banach space X.
The constants C_{n,k} are computed for n ≤ 6.

Keywords

infinitesimal generator; operator semigroup; operator cosine function; Landau's type inequalities

Hrčak ID:

1829

URI

https://hrcak.srce.hr/1829

Publication date:

22.12.1996.

Visits: 898 *