Definition:Linear Operator

Definition

A linear operator is a linear transformation from a module into itself.

Linear Operator on Vector Space

A linear operator on a vector space is a linear transformation from a vector space into itself.

Also see

• Results about linear operators can be found here.

Sources

• 1965: Seth Warner: Modern Algebra ... (previous) ... (next): Chapter $\text {V}$: Vector Spaces: $\S 28$. Linear Transformations