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Let      L ϕ  ( μ  ) {L^\phi }(\mu )       denote an Orlicz space and let      ϕ  \phi       satisfy the condition      Δ  2 {\Delta _2}      . It is shown that the extreme points of the unit ball of the space of continuous functions from a compact Hausdorff space      K K       into      L ϕ  ( μ  ) {L^\phi }(\mu )       with supremum norm on      C ( K , L ϕ  ( μ  ) ) C(K,{L^\phi }(\mu ))       are precisely the functions with values in the set of extreme points of the unit ball of      of  L ϕ  ( μ  ) {\text {of }}{L^\phi }(\mu )      .

Extreme points in $C(K,L\sp \varphi(\mu))$