Category:Functional analysis

From Biocrawler, the free encyclopedia.

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

For more information, see the main article about Functional analysis.

es:Categoría:Análisis funcional

fr:Catégorie:Analyse fonctionnelle

Subcategories

There are 9 subcategories to this category.

A Approximation theory B Banach algebras Banach spaces

H Hilbert space I Integral equations Integral transforms M Measure theory

N Norm O Operator theory

Articles in category "Functional analysis"

There are 116 articles in this category.

* Functional analysis A Absorbing set Approximate identity Arzelà-Ascoli theorem B BK-space Baire category theorem Baire space Banach-Alaoglu theorem Barrelled set Barrelled space Basis function Bernstein's inequality Bessel's inequality Beta-dual space Biorthogonal system Borel functional calculus Bornological space Bounded operator Bounded set Bounded set (topological vector space) C C0-semigroup CCR/CAR algebra Closed graph theorem Colombeau algebra Compression (functional analysis) Constructive quantum field theory Continuous functional calculus Continuous linear extension Continuous linear operator Continuous wavelet Convolution D Density state Direct integral Disk algebra Distribution (mathematics) Dual pair Dual space E Eigenfunction

F F-space FK-AK space FK-space Fixed point theorems in infinite-dimensional spaces Fredholm integral equation Free group factors isomorphism problem Free probability Friedrichs extension Fréchet space Fuglede's theorem Functional calculus Functional derivative G Gelfand representation Gel'fand-Naimark theorem Gelfand-Naimark-Segal construction Geometric quantization Gram-Schmidt process H Hahn-Banach theorem Hardy space Harmonic spectrum Hellinger-Toeplitz theorem Hilbert-Pólya conjecture Hille-Yosida theorem Hölder's inequality I Infinite-dimensional holomorphy Inner product space Invariant subspace L Linear functional Liouville-Neumann series List of functional analysis topics Lp space M Mackey topology Marcinkiewicz theorem Measure of non-compactness Mercer's theorem Mollifier Montel space Multiplication operator N Naimark's problem

N cont. Normal operator O Open mapping theorem Orthogonal complement Orthogonal functions Orthogonal projection Orthonormal basis Orthonormality P Parseval's identity Partial trace Perturbation theory Plancherel theorem Polar set Polarization identity Polynomially reflexive space Positive element Positive linear functional Predual Projection-valued measure Pseudo-differential operator Pure state Q Quotient space (linear algebra) R Reflexive space Riesz representation theorem Riesz-Thorin theorem S Sequence space Sesquilinear form Sobolev space State (functional analysis) Stone's theorem on one-parameter unitary groups System of imprimitivity T Tsirelson space U Uniform boundedness principle Uniform norm Unit ball Unitarity Unitary transformation W Weak derivative Weierstrass M-test Weight function

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