1 Operator, \(\mathcal L(V)\) def
- A linear map from a vector space \(V\) to itself is called an operator.
- The notation \(\mathcal L(V)\) means \(\mathcal L(V, V)\) which is the set of all operators on \(V\).
1.1 results
1.1.1 Axler3.69 Injectivity is surjectivity in finite dimensions
In a finite dimension operator, invertability, injectivity, and surjectivity are equivalent.