Category:関数解析学の定理

Parseval's identity

Riesz representation theorem

Hahn–Banach theorem

Atiyah–Singer index theorem

Plancherel theorem

Riesz–Thorin theorem

Bochner's theorem

Stone–Weierstrass theorem

Kantorovich 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

Gelfand–Naimark theorem