Template:Functional analysis
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Properties barrelled complete dual (algebraic/topological) locally convex reflexive separable
Theorems Hahn–Banach Riesz representation closed graph uniform boundedness principle Kakutani fixed-point Krein–Milman min–max Gelfand–Naimark Banach–Alaoglu Operators adjoint bounded compact Hilbert–Schmidt normal nuclear trace class transpose unbounded unitary Algebras Banach algebra C*-algebra spectrum of a C*-algebra operator algebra group algebra of a locally compact group von Neumann algebra Open problems invariant subspace problem Mahler's conjecture Applications Hardy space spectral theory of ordinary differential equations heat kernel index theorem calculus of variations functional calculus integral operator Jones polynomial topological quantum field theory noncommutative geometry Riemann hypothesis distribution (or generalized functions)Advanced topics approximation property balanced set Choquet theory weak topology Banach–Mazur distance Tomita–Takesaki theory
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