%0 Journal Article
%T On a generalization of atomic decompositions
%A S. K. Kaushik
%A S. K. Sharma
%J Albanian Journal of Mathematics
%D 2011
%I AulonaPress
%X We generalize atomic decomposition for Banach spaces andcalled it T -atomic decomposition. A necessary condition for T -atomic decomposition is given. A characterization for a triangular atomic decomposition is also given. Finally, as an application of triangular atomic decompositions, we prove that if a Banach space has a triangular atomic decomposition, then it also has an approximative atomic decomposition, an atomic decomposition and a fusion Banach frame.
%U http://journals.aulonapress.com/index.php/ajm/article/view/300/407