Answers are grounded in this paper and cite their sources.
A necessary and sufficient condition for the associated sequence of functionals to a complete minimal sequence to be a Banach frame has been given. We give the definition of a weak-exact Banach frame, and observe that an exact Banach frame is weak-exact. An example of a weak-exact Banach frame which is not exact has been given. A necessary and sufficient condition for a Banach frame to be a weak-exact Banach frame has been obtained. Finally, a necessary condition for the perturbation of a retro Banach frame by a finite number of linearly independent vectors to be a retro Banach frame has been given.
No takes yet. Share an insight, caveat, or question.
S. K. Kaushik (2007) studied this question.
Synapse has enriched 10 related papers. Consider them for comparative context: