Rank-one operators in reflexive one-sided A-submodules

Details Rank-one operators in reflexive one-sided A-submodules Rank-one operators in reflexive one-sided A-submodules

2004-03-08

arxiv.org/abs/math/0403126v1

Proc. Indian Acad. Sci. (Math. Sci.), Vol. 114, No. 1, February 2004, pp. 55-63

Mathematics

Operator Algebras

9 pages, no figures, no tables

Scientific paper

In this paper, we first characterize reflexive one-sided $\a$-submodules $\u$ of a unital operator algebra $\a$ in $\bh$ completely. Furthermore we investigate the invariant subspace lattice $\lat\r$ and the reflexive hull $\ref\r$, where $\r$ is the submodule generated by rank-one operators in $\u$; in particular, if $\l$ is a subspace lattice, we obtain when the rank-one algebra $\r$ of $\alg\l$ is big enough to determined $\alg\l$ in the following senses: $\alg\l=\alg\lat\r$ and $\alg\l=\ref\r$.

Affiliated with

Also associated with

No associations

Rating

Rank-one operators in reflexive one-sided A-submodules 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 Rank-one operators in reflexive one-sided A-submodules, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Rank-one operators in reflexive one-sided A-submodules will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-315950