inner product space question

I have a question.
If T is a linear operator on an inner product space, say V, and W is a T-invariant subspace of V, how could I show that is T*-invariant, where T* is the adjoint of T.

Quote:

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Originally Posted by dannyboycurtis

I have a question.
If T is a linear operator on an inner product space, say V, and W is a T-invariant subspace of V, how could I show that is T*-invariant, where T* is the adjoint of T.

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For we get:

...but this last equality is true....(Wink)

Tonio