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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

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