| Title:
|
A note on fusion Banach frames (English) |
| Author:
|
Kaushik, S. K. |
| Author:
|
Kumar, Varinder |
| Language:
|
English |
| Journal:
|
Archivum Mathematicum |
| ISSN:
|
0044-8753 (print) |
| ISSN:
|
1212-5059 (online) |
| Volume:
|
46 |
| Issue:
|
3 |
| Year:
|
2010 |
| Pages:
|
203-209 |
| Summary lang:
|
English |
| . |
| Category:
|
math |
| . |
| Summary:
|
For a fusion Banach frame $(\lbrace G_n, v_n\rbrace , S)$ for a Banach space $E$, if $(\lbrace v_n^*(E^*), v_n^*\rbrace ,T)$ is a fusion Banach frame for $E^*$, then $(\lbrace G_n, v_n\rbrace , S; \lbrace v_n^*(E^*), v_n^*\rbrace ,T)$ is called a fusion bi-Banach frame for $E$. It is proved that if $E$ has an atomic decomposition, then $E$ also has a fusion bi-Banach frame. Also, a sufficient condition for the existence of a fusion bi-Banach frame is given. Finally, a characterization of fusion bi-Banach frames is given. (English) |
| Keyword:
|
atomic decompositions |
| Keyword:
|
fusion Banach frames |
| Keyword:
|
fusion bi-Banach frames |
| MSC:
|
42A38 |
| MSC:
|
42C15 |
| MSC:
|
46B15 |
| idZBL:
|
Zbl 1240.42146 |
| idMR:
|
MR2735906 |
| . |
| Date available:
|
2010-10-22T05:36:11Z |
| Last updated:
|
2013-09-19 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/140788 |
| . |
| Reference:
|
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| Reference:
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| Reference:
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| Reference:
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| Reference:
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| Reference:
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| Reference:
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| . |
