Linked from

The 17 pages that link to Linear operator, each with the reason it gives.

• Schrödinger equationNarrower topic: The Hamiltonian acts on wave functions as a linear operator.

• Wave equationRelated: The standard wave operator is linear, enabling superposition of solutions.

• ObservableNarrower topic: Quantum observables are a physically constrained class of linear operators.

• Laplace transformRelated: The Laplace transform is linear, so sums and scalar multiples transform term by term.

• Functional analysisBroader topic: Operators are the transformations whose boundedness and spectra the subject studies.

• Invariant subspaceNarrower topic: An invariant subspace is defined by how a linear operator maps its vectors.

• Hamiltonian (quantum mechanics)Narrower topic: A quantum Hamiltonian acts linearly on state vectors.

• Eigenvalue problemNarrower topic: The operator is the central object whose special parameter values are sought.

• Linear functionalCompared with: Unlike a functional, an operator generally returns a vector rather than a scalar.

• Stefan BanachRelated: Banach’s theory analyzes operators acting between spaces with norms.

• Jordan decompositionNarrower topic: Jordan decomposition studies how one such map splits into simpler commuting maps.

• Summability methodRelated: Many classical summability procedures are linear transformations of sequences.

• Lwów School of MathematicsRelated: Operators on function spaces were a major object of study for the group.

• Jordan–Chevalley decompositionNarrower topic: The decomposition applies to operators on finite-dimensional vector spaces.

• Operator theoryBroader topic: Linearity is the central structure studied by operator theory.

• Anna Johnson Pell WheelerBroader topic: Operators provide a framework for expressing and analyzing integral equations.

• Fredholm's theoremNarrower topic: Fredholm's theorem concerns equations defined by linear maps.