Complex inner product space proof

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Reference no: EM13127231

Suppose V is a complex inner product space and T: V --> V a linear operator.

a) Show ker(T*) = im(T)^1

b) Show im(T*) = ker(T)^1

c) Use the results from parts (a) and (b) to show V = im(T) + ker (T*) = im(T*) + ker(T).

Reference no: EM13127231

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