Definition:Point Spectrum of Linear Operator

Definition

Let $V$ be a vector space.

Let $A : V \to V$ be a linear operator.

Let $\map {\sigma_p} A$ be the set of eigenvalues of $A$.

We call $\map {\sigma_p} A$ the point spectrum of $A$.

Also see

• Results about point spectra can be found here.

Sources

• 2000: Bryan Rynne and Martin Youngson: Linear Functional Analysis ... (previous) ... (next): Definition $6.17$
• 2020: James C. Robinson: Introduction to Functional Analysis ... (previous) ... (next) $14.1$: The Resolvent and Spectrum