Frameness bound for frame of subspaces
In this paper, we show that in each nite dimensional Hilbert space, a frame of subspaces is an ultra Bessel sequence of subspaces. We also show that every frame of subspaces in a nite dimensional Hilbert space has frameness bound.
| Main Authors: | , |
|---|---|
| Format: | Article |
| Language: | English |
| Published: |
University of Maragheh
2014-03-01
|
| Series: | Sahand Communications in Mathematical Analysis |
| Subjects: | |
| Online Access: | http://scma.maragheh.ac.ir/article_11238_1863.html |
| _version_ | 1818546503500693504 |
|---|---|
| author | M. R. Abdollahpour A. Shekari |
| author_facet | M. R. Abdollahpour A. Shekari |
| author_sort | M. R. Abdollahpour |
| collection | DOAJ |
| description | In this paper, we show that in each nite dimensional Hilbert space, a frame of subspaces is an ultra Bessel sequence of subspaces. We also show that every frame of subspaces in a nite dimensional Hilbert space has frameness bound. |
| first_indexed | 2024-12-12T07:54:06Z |
| format | Article |
| id | doaj.art-4d9623da47c44092a0cd359a557861a4 |
| institution | Directory Open Access Journal |
| issn | 2322-5807 2423-3900 |
| language | English |
| last_indexed | 2024-12-12T07:54:06Z |
| publishDate | 2014-03-01 |
| publisher | University of Maragheh |
| record_format | Article |
| series | Sahand Communications in Mathematical Analysis |
| spelling | doaj.art-4d9623da47c44092a0cd359a557861a42022-12-22T00:32:21ZengUniversity of MaraghehSahand Communications in Mathematical Analysis2322-58072423-39002014-03-011118Frameness bound for frame of subspacesM. R. Abdollahpour0A. Shekari1Department of Mathematics, University of Mohaghegh Ardabili, P.O.Box 179, Ardabil, Iran.Department of Mathematics, University of Mohaghegh Ardabili, P.O.Box 179, Ardabil, Iran.In this paper, we show that in each nite dimensional Hilbert space, a frame of subspaces is an ultra Bessel sequence of subspaces. We also show that every frame of subspaces in a nite dimensional Hilbert space has frameness bound.http://scma.maragheh.ac.ir/article_11238_1863.htmlFrame of subspacesFrameness boundPseudo-inverseUltra Bessel sequence of subspaces |
| spellingShingle | M. R. Abdollahpour A. Shekari Frameness bound for frame of subspaces Sahand Communications in Mathematical Analysis Frame of subspaces Frameness bound Pseudo-inverse Ultra Bessel sequence of subspaces |
| title | Frameness bound for frame of subspaces |
| title_full | Frameness bound for frame of subspaces |
| title_fullStr | Frameness bound for frame of subspaces |
| title_full_unstemmed | Frameness bound for frame of subspaces |
| title_short | Frameness bound for frame of subspaces |
| title_sort | frameness bound for frame of subspaces |
| topic | Frame of subspaces Frameness bound Pseudo-inverse Ultra Bessel sequence of subspaces |
| url | http://scma.maragheh.ac.ir/article_11238_1863.html |
| work_keys_str_mv | AT mrabdollahpour framenessboundforframeofsubspaces AT ashekari framenessboundforframeofsubspaces |