The ideal center of the dual of a Banach lattice

Details The ideal center of the dual of a Banach lattice The ideal center of the dual of a Banach lattice

2010-02-23

arxiv.org/abs/1002.4346v1

Mathematics

Functional Analysis

Scientific paper

Let $E$ be a Banach lattice. Its ideal center $Z(E)$ is embedded naturally in the ideal center $Z(E')$ of its dual. The embedding may be extended to a contractive algebra and lattice homomorphism of $Z(E)"$ into $Z(E')$. We show that the extension is onto $Z(E')$ if and only if $E$ has a topologically full center. (That is, for each $x\in E$, the closure of $Z(E)x$ is the closed ideal generated by $x$.) The result can be generalized to the ideal center of the order dual of an Archimedean Riesz space and in a modified form to the orthomorphisms on the order dual of an Archimedean Riesz space.

Affiliated with

Also associated with

No associations

Rating

The ideal center of the dual of a Banach lattice 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 The ideal center of the dual of a Banach lattice, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and The ideal center of the dual of a Banach lattice will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-170534