Category:関数解析学の定理

Hahn–Banach theorem

Riesz representation theorem

Atiyah–Singer index theorem

Parseval's identity

Stone–Weierstrass theorem

Plancherel theorem

Kantorovich theorem

Riesz–Thorin theorem

Gelfand–Mazur theorem

Marcinkiewicz interpolation theorem

Krein–Rutman theorem

Commutant lifting theorem

Dieudonné's theorem

Sz.-Nagy's dilation theorem

Lumer–Phillips theorem

Plancherel theorem for spherical functions

Bochner's theorem

Gårding's inequality

Hille–Yosida theorem

Gelfand–Naimark theorem