Category:関数解析学の定理

Atiyah–Singer index theorem

Parseval's identity

Riesz–Thorin theorem

Plancherel theorem

Stone–Weierstrass theorem

Kantorovich theorem

Hahn–Banach theorem

Bochner's 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

Gårding's inequality

Gelfand–Mazur theorem

Riesz representation theorem

Gelfand–Naimark theorem