Frames and bases in tensor products of Hilbert spaces and Hilbert C*-modules
| dc.creator | Khosravi, Amir | |
| dc.creator | Khosravi, Behrooz | |
| dc.date | 2007-03-20 | |
| dc.date.accessioned | 2026-07-07T07:52:53Z | |
| dc.date.available | 2026-07-07T07:52:53Z | |
| dc.description | In this article, we study tensor product of Hilbert $C^*$-modules and Hilbert spaces. We show that if $E$ is a Hilbert $A$-module and $F$ is a Hilbert $B$-module, then tensor product of frames (orthonormal bases) for $E$ and $F$ produce frames (orthonormal bases) for Hilbert $A\otimes B$-module $E\otimes F$, and we get more results. For Hilbert spaces $H$ and $K$, we study tensor product of frames of subspaces for $H$ and $K$, tensor product of resolutions of the identities of $H$ and $K$, and tensor product of frame representations for $H$ and $K$. | |
| dc.description | 12 pages | |
| dc.identifier | https://arxiv.org/abs/math/0703582 | |
| dc.identifier | http://arxiv.org/abs/math/0703582 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/126043 | |
| dc.subject | Operator Algebras | |
| dc.subject | 46L99; 42C15; 46H25 | |
| dc.title | Frames and bases in tensor products of Hilbert spaces and Hilbert C*-modules | |
| dc.type | text |