- #1

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- 0

- Homework Statement
- Hello,

I need to show that the operator

Tf(t) := g(t)f(t)

Where g is a function on

L^infinity(0,1)

-Is boundeed on the space L^2(0,1)

-and to calculate its norm.

- Relevant Equations
- Tf(t) = g(t)f(t)

I don't know how to start to find the bounded condition nor the norm. I thought about finding a maximal norm to show that it is bounded but I don't know how to continue.