Reflexive Operator Algebras on Banach Spaces

Details Reflexive Operator Algebras on Banach Spaces Reflexive Operator Algebras on Banach Spaces

2012-04-02

arxiv.org/abs/1204.0551v1

Mathematics

Functional Analysis

15 pages

Scientific paper

In this paper we study the reflexivity of a unital strongly closed algebra of operators with complemented invariant subspace lattice on a Banach space. We prove that if such an algebra contains a complete Boolean algebra of projections of finite uniform multiplicity and with the direct sum property, then it is reflexive, i.e. it contains every operator that leaves invariant every closed subspace in the invariant subspace lattice of the algebra. In particular, such algebras coincide with their bicommutant.

Affiliated with

Also associated with

No associations

Rating

Reflexive Operator Algebras on Banach Spaces 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 Reflexive Operator Algebras on Banach Spaces, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Reflexive Operator Algebras on Banach Spaces will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-354032