Diagonalization of compact operators in Hilbert modules over C*-algebras of real rank zero
| dc.creator | Manuilov, V. M. | |
| dc.date | 1995-01-31 | |
| dc.date | 1996-02-22 | |
| dc.date.accessioned | 2026-07-07T08:59:17Z | |
| dc.date.available | 2026-07-07T08:59:17Z | |
| dc.description | It is known that the classical Hilbert--Schmidt theorem can be generalized to the case of compact operators in Hilbert $A$-modules $H_A^*$ over a $W^*$-algebra of finite type, i.e. compact operators in $H_A^*$ under slight restrictions can be diagonalized over $A$. We show that if $B$ is a weakly dense $C^*$-subalgebra of real rank zero in $A$ with some additional property then the natural extension of a compact operator from $H_B$ to $H_A^*\supset H_B$ can be diagonalized with diagonal entries being from the $C^*$-algebra $B$. | |
| dc.description | 8 pages, LaTeX, v. 2.09, no figures, a slightly revised version | |
| dc.identifier | https://arxiv.org/abs/funct-an/9501008 | |
| dc.identifier | http://arxiv.org/abs/funct-an/9501008 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/147652 | |
| dc.subject | Functional Analysis | |
| dc.subject | Operator Algebras | |
| dc.title | Diagonalization of compact operators in Hilbert modules over C*-algebras of real rank zero | |
| dc.type | text |