Please, could you help me with this demonstration?
Let X a vectorial space with norm and e sequences over X where x_n->x and y_n->Y.
A) If is a scalar sequence that converges to prove that ->
b) Let =(x_1+..+x_n)/n. Prove that ->x
Thanks a lot
Please, could you help me with this demonstration?
Let X a vectorial space with norm and e sequences over X where x_n->x and y_n->Y.
A) If is a scalar sequence that converges to prove that ->
b) Let =(x_1+..+x_n)/n. Prove that ->x
Thanks a lot