Linear map between vector spaces over the same field

Depends on

• Vector space over a field
• Field

Used by

• Second-order linear stabilized Runge–Kutta–Chebyshev step Algorithm
• A linear map from a finite-dimensional normed space is bounded Corollary
• Lambda identity minus compact has index zero Corollary
• The sharp real phase-retrieval count for full-spark measurements Corollary
• The space of Jacobi fields along a geodesic has dimension two n Corollary
• A Deligne kernel need not be one external tensor factor Counterexample
• A faithful canonical realization that is not reflection faithful: the affine rank-two system Counterexample
• Noise underestimation defeats a truncated singular-value rule Counterexample
• The integers do not have property (T) Counterexample
• The left-to-right exact equivalence need not preserve the identity Counterexample
• A bounded linear operator between normed spaces Definition
• A linear map L:ℝᵐ→ℝⁿ in Euclidean coordinates Definition
• A norm on a real vector space, the induced metric, and the dictionary with the metric axioms Definition
• Admissible constraint classes and restricted identifiability Definition
• Associative superalgebra over the complex numbers Definition
• Bilinear forms, and symmetric, skew-symmetric, and alternating bilinear forms Definition
• Bounded, coercive and symmetric sesquilinear forms Definition
• Character and maximal ideal space Definition
• Choi matrix with input factor first Definition
• Commensurable subspaces and the ideals E₀, E₁, E₂ of E Definition
• Compact linear operator Definition
• Complement splitting and range projection for a simple fold Definition
• Completely positive maps Definition
• Complexification of a real-linear map Definition
• Conjugate points along a geodesic and their multiplicity Definition
• Conjugations and real structures on a complex vector space Definition
• Coordinate columns [v]_B and matrices [T]_B^C of linear maps relative to ordered bases Definition
• Derivations of Lie algebras Definition
• Dirac Notation Conversion Definition
• Eigenvalues, eigenvectors, eigenspaces E_λ(T)=ker(T-λ I), and the spectrum σ_F(T) of an endomorphism Definition
• Finite adiabatic path model Definition
• Finite Kraus representation Definition
• Finite-dimensional quantum channel Definition
• Homomorphisms of possibly infinite-dimensional Lie algebras Definition
• Infinitesimal generator of a unitary group Definition
• Intertwiners, the spaces Hom_G(V,W) and End_G(V), equivalent representations, and faithful representations Definition
• Invariant subspaces, restrictions, and induced quotient operators Definition
• Invertible linear maps, linear isomorphisms, and inverse linear maps Definition
• Isometric Stinespring representation Definition
• Kernel and image of a linear map Definition

…and 136 more results.

Dependency tree · two levels

8 results within two dependency steps of this one, each drawn at its shortest distance from it. An arrow runs from a result to what uses it, so the chart reads left to right and ends at this result, which carries a heavier outline. Every node is a link to that result. Click elsewhere on the chart to enlarge it.

Sources

• Axler, Linear Algebra Done Right, Chapter 3 (standard reference, not scraped)