Suppose V is a finite-dimensional complex vector space and T ∈ L(V) satisfies the condition: for any φ ∈ V' and any v ∈ V, lim n→[infinity] φ(T^n v) = 0. What does this imply about the eigenvalues of T?
A) All eigenvalues of T are real.
B) All eigenvalues of T have absolute value less than 1.
C) All eigenvalues of T have absolute value greater than 1.
D) All eigenvalues of T are 0.