A note on block sequences in Hilbert spaces
Abstract: Block sequences with respect to frames in Hilbert spaces have been defined. Examples have been provided to show that a block sequence with respect to a given frame may not even be a Bessel sequence. Also, a necessary and sufficient condition under which a block sequence with respect to a f...
| Permalink: | http://skupnikatalog.nsk.hr/Record/nsk.NSK01000715973/Details |
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| Matična publikacija: |
Glasnik matematički Ser. 3, 43(63) (2008), 2 ; str. 387-395 |
| Glavni autor: | Kaushik, Shiv Kumar (-) |
| Ostali autori: | Singh, Ghanshyam (-), Virender |
| Vrsta građe: | Članak |
| Jezik: | eng |
| Predmet: | |
| Online pristup: |
Glasnik Matematički |
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| 001 | NSK01000715973 | ||
| 003 | HR-ZaNSK | ||
| 005 | 20110214125618.0 | ||
| 007 | ta | ||
| 008 | 091014s2008 ci ||| ||eng | ||
| 035 | |9 (HR-ZaNSK)718540 | ||
| 035 | |a (HR-ZaNSK)000715973 | ||
| 040 | |a HR-ZaNSK |b hrv |c HR-ZaNSK |e ppiak | ||
| 042 | |a croatica | ||
| 080 | |a 51 |2 MRF 1998. | ||
| 100 | 1 | |a Kaushik, Shiv Kumar | |
| 245 | 1 | 2 | |a A note on block sequences in Hilbert spaces / |c S. K. Kaushik, Ghynshyam Singh and Virender. |
| 504 | |a Bibliografija: 18 jed | ||
| 520 | 8 | |a Abstract: Block sequences with respect to frames in Hilbert spaces have been defined. Examples have been provided to show that a block sequence with respect to a given frame may not even be a Bessel sequence. Also, a necessary and sufficient condition under which a block sequence with respect to a frame is a frame has been given. Further, applications of block sequences to obtain Fusion frames and Fusion frame systems have been given. Finally, a problem has been posed and observed that an affirmative answer to this problem gives an affirmative answer to the Feichtinger Conjecture | |
| 653 | |a Nizovi i sumabilnost |a Teoremi | ||
| 700 | 1 | |a Singh, Ghanshyam | |
| 700 | 1 | |a Virender | |
| 773 | 0 | |t Glasnik matematički |x 0017-095X |g Ser. 3, 43(63) (2008), 2 ; str. 387-395 |w nsk.(HR-ZaNSK)000000694 | |
| 981 | |b B08/08 | ||
| 998 | |a rado091014 |c rpeo110214 | ||
| 856 | 4 | 2 | |u http://web.math.hr/glasnik/glascro.html |y Glasnik Matematički |