Functional analysis is that branch of mathematics and specifically of analysis which is concerned with the study of spaces of functions.

Subcategories

There are 7 subcategories to this category.

Approximation theory B Banach algebras

B cont. Banach spaces I Integral transforms M Measure theory

N Norm O Operator theory

Articles in category "Functional analysis"

There are 124 articles in this category.

Absorbing set Approximate identity Approximation theory Arzelà-Ascoli theorem B BK-space Baire space Banach algebra Banach space Banach-Alaoglu theorem Barrelled set Barrelled space Basis function Bernstein's inequality Bessel's inequality Biorthogonal system Borel functional calculus Bounded operator Bounded set C C*-algebra C0-semigroup CCR/CAR algebra Closed graph theorem Colombeau algebra Compression (functional analysis) Constructive quantum field theory Continuous functional calculus Continuous linear extension Continuous spectrum Continuous wavelet Convolution D Density state Direct integral Discrete spectrum Disk algebra Distribution Dual pair E Eigenfunction F F-space FK-space Fixed point theorems in infinite-dimensional spaces Free group factors isomorphism problem

F cont. Free probability Friedrichs extension Fréchet space Fuglede's theorem Functional analysis Functional calculus Functional derivative G Gel'fand-Naimark theorem Gelfand representation Gelfand-Naimark-Segal construction Geometric quantization Gram-Schmidt process H Hahn-Banach theorem Hellinger-Toeplitz theorem Hilbert space Hilbert-Pólya conjecture Hille-Yosida theorem I Infinite-dimensional holomorphy Inner product space Invariant subspace Isospectral L Linear functional Liouville-Neumann series List of functional analysis topics Locally convex topological vector space Lp space M Marcinkiewicz theorem Measure of non-compactness Mollifier Multiplication operator N Naimark's problem Norm (mathematics) Normal operator O Open mapping theorem Operator norm Operator theory Orthogonal complement Orthogonal functions Orthogonal projection Orthonormal basis Orthonormality P Parseval's identity

P cont. Partial trace Perturbation theory Plancherel theorem Polar set Polynomially reflexive space Positive element Positive linear functional Projection-valued measure Projective Hilbert space Pseudo-differential operator Pure state Q Quotient space (linear algebra) R Reflexive space Reproducing kernel Hilbert space Riesz representation theorem Riesz-Thorin theorem S Self-adjoint operator Semi-Hilbert space Sequence space Sesquilinear form Sobolev space Spectral theorem Spectrum of a C*-algebra Spectrum of an operator State (functional analysis) Stone's theorem on one-parameter unitary groups Support (mathematics) System of imprimitivity T Topological vector space Trace class Tsirelson space Tsirelson's bound U Uniform boundedness principle Uniform norm Unit ball Unitarity V Vector space (example 3) W Weak derivative Weak topology Weierstrass M-test Weight function