Category:関数解析学の定理

Stone–Weierstrass theorem

Gelfand–Naimark theorem

Marcinkiewicz interpolation theorem

Krein–Rutman theorem

Hahn–Banach theorem

Hille–Yosida theorem

Commutant lifting theorem

Dieudonné's theorem

Sz.-Nagy's dilation theorem

Lumer–Phillips theorem

Plancherel theorem for spherical functions

Gårding's inequality

Gelfand–Mazur theorem

Riesz–Thorin theorem

Kantorovich theorem

Bochner's theorem

Atiyah–Singer index theorem

Parseval's identity

Plancherel theorem

Riesz representation theorem