Endomorphism/K/Powers/Bounded/Stable/Definition

Stable endomorphism

Let ${}V$ be a finite-dimensional ${}{\mathbb {K} }$-vector space, and let

$\varphi \colon V\longrightarrow V$

be an endomorphism. Then ${}\varphi$ is called stable if the sequence ${}\varphi ^{n}$ in ${}\operatorname {End} _{}{\left(V\right)}$ is bounded.