Category:関数解析学の定理

Stone–Weierstrass theorem

Riesz–Thorin theorem

Hahn–Banach theorem

Riesz representation 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

Gårding's inequality

Gelfand–Naimark theorem

Kantorovich theorem

Gelfand–Mazur theorem

Hille–Yosida theorem

Plancherel theorem

Atiyah–Singer index theorem

Parseval's identity