Here are a few more consequences:
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- The norm of T* $T^*$ equals the norm of T
-X $T$
- $X$ reflexive and M $M$ closed in X $X$ implies M $M$ reflexive
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- If X $X$ Banach then X* $X^*$ reflexive iff X $X$ is reflexive
-X*
- $X^*$ separable implies X $X$ separable
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- If X $X$ Banach and $T \in B(X) B(X)$ then T $T$ invertible iff T* $T^*$ invertible
