Tf(x) = ∫[0, x] f(t)dt
for any f in X and any x in [0, 1]. Then T is a linear operator.
Then (X, ⟨., .⟩) is an inner product space.
||f||∞ = max: x in [0, 1].
Tf(x) = ∫[0, x] f(t)dt
for any f in X and any x in [0, 1]. Then T is a linear operator. kreyszig functional analysis solutions chapter 2
Then (X, ⟨., .⟩) is an inner product space. Tf(x) = ∫[0, x] f(t)dt for any f
||f||∞ = max: x in [0, 1].
