Similar to ストーン＝ワイエルシュトラスの定理

Commutant lifting theorem

Kaplansky density theorem

Plancherel theorem for spherical functions

Krein–Rutman theorem

Gelfand–Naimark theorem

Gelfand–Mazur theorem

Dieudonné's theorem

Sz.-Nagy's dilation theorem

Kantorovich theorem

Parseval's identity

Hahn–Banach theorem

Hille–Yosida theorem

Plancherel theorem

Bochner's theorem

Marcinkiewicz interpolation theorem

Riesz–Thorin theorem

Riesz representation theorem

Lumer–Phillips theorem

Continuous function

Uniform continuity

Open and closed maps

Space-filling curve

Space of continuous functions on a compact space

Symmetrically continuous function

Intermediate value theorem

Brouwer fixed-point theorem