Loading...
Please wait, while we are loading the content...
Similar Documents
Pre-frame operators, Besselian frames, and near-Riesz bases in Hilbert spaces
| Content Provider | Semantic Scholar |
|---|---|
| Author | Holub, James R. |
| Copyright Year | 1994 |
| Abstract | A problem of enduring interest in connection with the study of frames in Hilbert space is that of characterizing those frames which can essentially be regarded as Riesz bases for computational purposes or which have certain desirable properties of Riesz bases. In this paper we study several aspects of this problem using the notion of a pre-frame operator and a model theory for frames derived from this notion. In particular, we show that the deletion of a finite set of vectors from a frame {x I}'IOl leaves a Riesz basis if and only if the frame is Besselian (i.e., En?Il anXn converges X (an) E 12). |
| Starting Page | 779 |
| Ending Page | 785 |
| Page Count | 7 |
| File Format | PDF HTM / HTML |
| DOI | 10.1090/S0002-9939-1994-1204376-4 |
| Volume Number | 122 |
| Alternate Webpage(s) | http://www.ams.org/journals/proc/1994-122-03/S0002-9939-1994-1204376-4/S0002-9939-1994-1204376-4.pdf |
| Alternate Webpage(s) | https://doi.org/10.1090/S0002-9939-1994-1204376-4 |
| Language | English |
| Access Restriction | Open |
| Content Type | Text |
| Resource Type | Article |
