Answer to Question #7962 in Functional Analysis for Muhammad Imran

Question #7962

A subspace Y of a normed space X is said to be invariant under a linear operator T:X→X if T(y) ЄY , Let λЄσp(T) (λ belongs to point spectrum), TεB(X,X) , X be a complex Banach space. Show that eigen space of λ is T-invariant.

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