Rank-one operators in reflexive one-sided A-submodules
| dc.creator | Zhe, Dong | |
| dc.date | 2004-03-08 | |
| dc.date.accessioned | 2026-07-07T05:06:10Z | |
| dc.date.available | 2026-07-07T05:06:10Z | |
| dc.description | 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 $ł$ is a subspace lattice, we obtain when the rank-one algebra $\r$ of $\algł$ is big enough to determined $\algł$ in the following senses: $\algł=\alg\lat\r$ and $\algł=\ref\r$. | |
| dc.description | 9 pages, no figures, no tables | |
| dc.identifier | https://arxiv.org/abs/math/0403126 | |
| dc.identifier | http://arxiv.org/abs/math/0403126 | |
| dc.identifier | Proc. Indian Acad. Sci. (Math. Sci.), Vol. 114, No. 1, February 2004, pp. 55-63 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/70382 | |
| dc.subject | Operator Algebras | |
| dc.subject | 47L75 | |
| dc.title | Rank-one operators in reflexive one-sided A-submodules | |
| dc.type | text |