Operators commuting with the Volterra operator are not weakly supercyclic

Details Operators commuting with the Volterra operator are not weakly supercyclic Operators commuting with the Volterra operator are not weakly supercyclic

2009-03-10

arxiv.org/abs/0903.1752v1

Mathematics

Dynamical Systems

Submitted to LMS

Scientific paper

We prove that any bounded linear operator on $L_p[0,1]$ for $1\leq p<\infty$, commuting with the Volterra operator $V$, is not weakly supercyclic, which answers affirmatively a question raised by L\'eon-Saavedra and Piqueras-Lerena. It is achieved by providing an algebraic flavored condition on an operator which prevents it from being weakly supercyclic and is satisfied for any operator commuting with $V$.

Affiliated with

Also associated with

No associations

Rating

Operators commuting with the Volterra operator are not weakly supercyclic 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 Operators commuting with the Volterra operator are not weakly supercyclic, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Operators commuting with the Volterra operator are not weakly supercyclic will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-187118