Geodesic
A note on fusion Banach frames
Archivum mathematicum, Tome 46 (2010) no. 3, pp. 203-209

Voir la notice de l'article provenant de la source Czech Digital Mathematics Library

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.
Classification : 42A38, 42C15, 46B15
Keywords: atomic decompositions; fusion Banach frames; fusion bi-Banach frames 
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     author = {Kaushik, S. K. and Kumar, Varinder},
     title = {A note on fusion {Banach} frames},
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     pages = {203--209},
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     zbl = {1240.42146},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/ARM_2010__46_3_a3/}
}
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Kaushik, S. K.; Kumar, Varinder. A note on fusion Banach frames. Archivum mathematicum, Tome 46 (2010) no. 3, pp. 203-209. http://geodesic.mathdoc.fr/item/ARM_2010__46_3_a3/