## Communications in Mathematical Analysis

### Norm Estimates for Powers of Products of Operators in a Banach Space

Michael Gil’

#### Abstract

Let $A$ and $B$ be bounded linear operators in a Banach space. We consider the following problem: if $\Sigma_{k=0}^{\infty} || A^{k} |||| B^{k} || \lt\infty$, under what conditions $\Sigma_{k=0}^{\infty} || (AB)^{k} || \lt \infty$?

#### Article information

Source
Commun. Math. Anal., Volume 20, Number 2 (2017), 1-7.

Dates
First available in Project Euclid: 3 November 2017