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Functional analysis has 6 categories.

Approximation theory
Banach algebras
Banach spaces

Integral transforms
Measure theory
Operator theory

Functional analysis has 89 articles.

Approximate identity	Approximation theory	Arzelà-Ascoli theorem
Baire space	Banach algebra	Banach space
Banach-Alaoglu theorem	Basis function	Biorthogonal system
Borel functional calculus	Bounded operator	Bounded set
C*-algebra	Closed graph theorem	Colombeau algebra
Compression (functional analysis)	Conjugate transpose	Constructive quantum field theory
Continuous functional calculus	Continuous linear extension	Continuous spectrum
Continuous wavelet	Convolution	Direct integral
Discrete spectrum	Disk algebra	Distribution
F-space	Fixed point theorems in infinite-dimensional spaces	Fréchet space
Free group factors isomorphism problem	Free probability	Friedrichs extension
Functional analysis	Functional calculus	Gelfand representation
Gelfand-Naimark-Segal construction	Gram-Schmidt process	Hahn-Banach theorem
Hellinger-Toeplitz theorem	Hilbert space	Hilbert-Pólya conjecture
Hille-Yosida theorem	Infinite-dimensional holomorphy	Inner product space
Invariant subspace	Locally convex topological vector space	Lp space
Marcinkiewicz theorem	Measure of non-compactness	Multiplication operator
Norm (mathematics)	Open mapping theorem	Operator norm
Operator theory	Orthogonal complement	Orthogonal projection
Orthonormal basis	Orthonormality	Partial trace
Perturbation theory	Plancherel theorem	Polynomially reflexive space
Positive element	Projection-valued measure	Projective Hilbert space
Pseudo-differential operator	Quotient space (linear algebra)	Reflexive space
Riesz representation theorem	Riesz-Thorin theorem	Self-adjoint operator
Seminorm	Sesquilinear form	Sobolev space
Spectral theorem	Spectrum of a C*-algebra	Spectrum of an operator
Support (mathematics)	System of imprimitivity	Topological vector space
Trace class	Uniform boundedness principle	Uniform norm
Unit ball	Unitarity	Weak topology
Weierstrass M-test	Weight function

Categories: Mathematical analysis | Topological algebra