Is EndE Linear with Respect to c ^ ∞ (B)?

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(E, B, V) a vector bundle.EndE is the set of endomorphisms of E, then if g belongs EndE therefore g is a linear V-> V (or V is the fiber type E).
I would like to know the linearity with respect to the function c ^ ∞ (B)? (B base manifolds of E )
thnx .
 
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