Question
(3) The double dual space of V, denoted V", is defined to be the dual space of V'. (In other words, V" = (V')'.) Define F:V---->V", (Fv)(chi) = chi(v),for v belongs to V and chi belongs to V'. (a) Show that F is a linear map. (b) Show that if T: V--->V is linear, than T" o F = FoT, whereT" = (T')'. (c) Show that if V
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