# Show that $\psi:L(E,L(E,F))\rightarrow L^2(E,F)$ given by $[\psi(T)](u,v)=[T(u)](v)$ is a linear homeomorphism

Show that $\psi:L(E,L(E,F))\rightarrow L^2(E,F)$ given by $[\psi(T)](u,v)=[T(u)](v)$ is a linear homeomorphism, first showing that $L^2(E,F)$ is Banach and then using the open mapping theorem.

Kp Yao

18

## Answer

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Poincare

123

The answer is accepted.

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