Homework Sourse52 l2 is the space defined in Problem 49 Define an operator
5.2 l2 is the space defined in Problem 4.9. Define an operator A as follows: Ax is the sequence whose n-th term is 2 mammxm, where anm is a given array (double sequence) of numbers. Show that if umP converges, then A maps l into itself Give an exam- ple to show that m lammk does not converge, then A may not map l2 into itself. 
Solution
But this the definition, how we can prove dfefinition. But if there is any other question related to l2 space
