Let a linear map. Prove that Injectivity is easy enough, but I can't seem to prove without assuming that are stable. Am I missing something here, or is this assumption required for the implication to hold?

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- April 1st 2011, 11:55 AMh2ospreyGeneralized Eigenspaces
Let a linear map. Prove that Injectivity is easy enough, but I can't seem to prove without assuming that are stable. Am I missing something here, or is this assumption required for the implication to hold?

- April 1st 2011, 02:08 PMDrexel28
- April 1st 2011, 02:44 PMh2osprey
Whoops my bad. is defined as the generalized eigenspace of the eigenvalue , i.e. for some