Hi all, Any help (hints included) with this is appreciated! Let be a sequence of scalars such taht converges whenever . Show that there is a linear operator given by Show that has a closed graph. Use the Closed Graph Theorem to deduce that
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Originally Posted by Mimi89 Hi all, Any help (hints included) with this is appreciated! Let be a sequence of scalars such taht converges whenever . Show that there is a linear operator given by Show that has a closed graph. Use the Closed Graph Theorem to deduce that This question doesn't make msuch sense. What is ? Is it ?
is the space of all sequences converging to 0. It is a subspace of .
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