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So φ 1 is weakly sequentially continuous.
This shows that h is sequentially continuous.
Then Φ ′ is weakly sequentially continuous.
Since is weakly sequentially continuous, then as.
Finally, τ is weakly sequentially continuous.
Since T is weakly sequentially continuous, so is (T_{1}).
As a result, (tau_{A,C} ) is weakly sequentially continuous.
Analogously, a function is sequentially continuous if implies that.
Then is continuous if and only if is sequentially continuous.
If is weakly sequentially continuous, then converges weakly to, where.
Since is weakly sequentially continuous, we have (2.22).
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