Category:関数解析学の定理

Plancherel theorem

Hahn–Banach theorem

Kantorovich theorem

Stone–Weierstrass theorem

Riesz–Thorin theorem

Marcinkiewicz interpolation theorem

Krein–Rutman theorem

Hille–Yosida theorem

Commutant lifting theorem

Dieudonné's theorem

Sz.-Nagy's dilation theorem

Lumer–Phillips theorem

Plancherel theorem for spherical functions

Riesz representation theorem

Gårding's inequality

Gelfand–Naimark theorem

Gelfand–Mazur theorem

Bochner's theorem

Atiyah–Singer index theorem

Parseval's identity