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OpenStudy (anonymous):
"the modular \rho has the Fatou Property if and only if \rho(f)<=lim inf_(n-->infnty) \rho(f_n) whenever {f_n} \rho-converges to f." Then there's a statement: \rho has fatou property iff the \rho ball B_(\rho) (f,r)={g\in X_\rho;\rho(f-g)<=r} is \rho closed. i can prove the right direction but i can't prove the left direction, can anybody help me?
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