2
$\begingroup$

Let $ A\colon C[0,1] \to C[0,1] $

$$ A(x)(t) = f(t)x(t) + \int_0^t x(s)ds,\quad f \in C[0,1]: f(1) \neq 0, \forall t \in [0,1] $$

Is $A$ a compact operator or not?

3 Answers 3