Equivalence of quotient Hilbert modules
| dc.creator | Douglas, Ronald G. | |
| dc.creator | Misra, Gadadhar | |
| dc.date | 2003-10-17 | |
| dc.date.accessioned | 2026-07-07T05:02:00Z | |
| dc.date.available | 2026-07-07T05:02:00Z | |
| dc.description | Let $\cl{M}$ be a Hilbert module of holomorphic functions over a natural function algebra $\mathcal{A}(Ω)$, where $Ω\subseteq \bb{C}^m$ is a bounded domain. Let $\cl{M}_0\subseteq \cl{M}$ be the submodule of functions vanishing to order $k$ on a hypersurface $\cl{Z} \subseteq Ω$. We describe a method, which in principle may be used, to construct a set of complete unitary invariants for quotient modules $\cl{Q}=\cl{M} \ominus \cl{M}_0$. The invariants are given explicitly in the particular case of $k = 2$. | |
| dc.description | 11 pages | |
| dc.identifier | https://arxiv.org/abs/math/0310263 | |
| dc.identifier | http://arxiv.org/abs/math/0310263 | |
| dc.identifier | Proc. Indian Acad. Sci. (Math. Sci.), Vol. 113, No. 3, August 2003, pp. 281-291 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/68891 | |
| dc.subject | Functional Analysis | |
| dc.subject | Operator Algebras | |
| dc.title | Equivalence of quotient Hilbert modules | |
| dc.type | text |