Category:関数解析学の定理

Parseval's identity

Riesz representation theorem

Plancherel theorem

Stone–Weierstrass theorem

Atiyah–Singer index theorem

Gelfand–Naimark theorem

Krein–Rutman theorem

Gelfand–Mazur theorem

Commutant lifting theorem

Dieudonné's theorem

Sz.-Nagy's dilation theorem

Lumer–Phillips theorem

Plancherel theorem for spherical functions

Marcinkiewicz interpolation theorem

Riesz–Thorin theorem

Gårding's inequality

Kantorovich theorem

Hahn–Banach theorem

Hille–Yosida theorem