Injective cogenerators among operator bimodules
| dc.creator | Magajna, Bojan | |
| dc.date | 2005-08-29 | |
| dc.date.accessioned | 2026-07-07T05:22:45Z | |
| dc.date.available | 2026-07-07T05:22:45Z | |
| dc.description | Given C$^*$-algebras $A$ and $B$ acting cyclically on Hilbert spaces $\h$ and $\k$, respectively, we characterize completely isometric $A,B$-bimodule maps from $\bkh$ into operator $A,B$-bimodules. We determine cogenerators in some classes of operator bimodules. For an injective cogenerator $X$ in a suitable category of operator $A,B$-bimodules we show: if $A$, regarded as a C$^*$-subalgebra of $\al(X)$ (adjointable left multipliers on $X$), is equal to its relative double commutant in $\al(X)$, then $A$ must be a W$^*$-algebra. | |
| dc.description | 21 pages | |
| dc.identifier | https://arxiv.org/abs/math/0508566 | |
| dc.identifier | http://arxiv.org/abs/math/0508566 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/76184 | |
| dc.subject | Operator Algebras | |
| dc.subject | Functional Analysis | |
| dc.subject | 46L07, 47L25 | |
| dc.title | Injective cogenerators among operator bimodules | |
| dc.type | text |