Invariant and hyperinvariant subspaces for amenable operators

Details Invariant and hyperinvariant subspaces for amenable operators Invariant and hyperinvariant subspaces for amenable operators

2010-08-31

arxiv.org/abs/1008.5238v1

Mathematics

Functional Analysis

11 pages

Scientific paper

There has been a long-standing conjecture in Banach algebra that every amenable operator is similar to a normal operator. In this paper, we study the structure of amenable operators on Hilbert spaces. At first, we show that the conjecture is equivalent to every non-scalar amenable operator has a non-trivial hyperinvariant subspace and equivalent to every amenable operator is similar to a reducible operator and has a non-trivial invariant subspace; and then, we give two decompositions for amenable operators, which supporting the conjecture.

Affiliated with

Also associated with

No associations

Rating

Invariant and hyperinvariant subspaces for amenable operators 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 Invariant and hyperinvariant subspaces for amenable operators, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Invariant and hyperinvariant subspaces for amenable operators will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-179952