THis is my first exposure to Functional Analysis I am attempting to study and its proving a shock to my little brain. Here also is my first post which I hope is in the correct forum.
Let V be the vector space consisting of all infinite real sequences. Show that the subset W consisting of all such sequences with only finitely many non-0 entries is a subspace of V
If I write
for the vector V. Is this correct? Not sure how to represent the subset W.