On dominant contractions and a generalization of the zero-two law

Details On dominant contractions and a generalization of the zero-two law On dominant contractions and a generalization of the zero-two law

2010-04-13

arxiv.org/abs/1004.2103v1

Positivity (2011) 15:497--508

Mathematics

Functional Analysis

10 pages

Scientific paper

10.1007/s11117-010-0102-8

Zaharopol proved the following result: let $T,S:L^1(X,{\cf},\m)\to
L^1(X,{\cf},\m)$ be two positive contractions such that $T\leq S$. If
$\|S-T\|<1$ then $\|S^n-T^n\|<1$ for all $n\in\bn$. In the present paper we
generalize this result to multi-parameter contractions acting on $L^1$. As an
application of that result we prove a generalization of the "zero-two" law.

Affiliated with

Also associated with

No associations

Rating

On dominant contractions and a generalization of the zero-two law does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with On dominant contractions and a generalization of the zero-two law, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and On dominant contractions and a generalization of the zero-two law will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-281184