Linked from

The 14 pages that link to Supremum norm, each with the reason it gives.

• Uniform convergenceRelated: Uniform error is measured by the supremum norm of the difference between each function and its limit.

• Arzelà–Ascoli theoremRelated: It induces the uniform topology used in the common form of the theorem.

• Cauchy estimatesRelated: The estimate uses the function's supremum on the contour as its size input.

• Weierstrass approximation theoremRelated: Uniform approximation measures the error between functions in this norm.

• Magnitude (mathematics)Related: It defines magnitude by the largest component rather than by accumulated components.

• Weierstrass M-testRelated: The M-test bounds each term uniformly using this norm.

• Siegel's lemmaRelated: Many formulations bound the largest coordinate of the integer solution.

• Banach–Stone theoremRelated: This norm makes the geometry of each function space encode properties of its domain.

• Glivenko–Cantelli theoremRelated: Uniform convergence of distribution functions is convergence in this norm.

• Agmon's inequalityRelated: This is the pointwise-size quantity Agmon's inequality controls.

• Banach–Mazur theoremRelated: Function values preserve the original vector norm through this norm on C([0,1]).

• Infimum and supremumRelated: The supremum measures a function's largest magnitude, even when no maximum is attained.