linear operator in a sentence

Examples

1. Let L : V \ to \ mathbb R be a bounded linear operator.
2. In technical language, integral calculus studies two related linear operators.
3. Shift operators are examples of linear operators, important for their simplicity and natural occurrence.
4. Linear operators are ubiquitous in the theory of quantum mechanics.
5. Therefore, every such linear operator has a non-trivial invariant subspace.
6. Consider an-dimensional vector space and a linear operator with eigenvalues.
7. Rather, a bounded linear operator is a locally bounded function.
8. Equipped with the spectral theorem for compact linear operators, one obtains the following result.
9. Other such questions are compactness or weak-compactness of linear operators.
10. Then the adjoint of is the continuous linear operator satisfying