# Linear Operators on Normed Spaces

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• April 3rd 2009, 10:24 PM
Nusc
Linear Operators on Normed Spaces
If $(X,\Omega,\mu)$ is a $\sigma$-finite measure space, $\phi:X \rightarrow F$ is an $\Omega$-measureable function, $1\leq p \leq \infty$, and $\phi f \in L^{p}(\mu)$, then show that $\phi \in L^{\infty}(\mu)$.

Any ideas?