Category:Functional analysis

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Functional analysis

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

The main article for this category is Functional analysis.

Subcategories

There are 10 subcategories to this category shown below (more may be shown on subsequent pages).

A Approximation theory B Banach algebras I Integral equations

I cont. Integral transforms M Measure theory N Nonlinear functional analysis O Operator theory

T Topological vector spaces Topology of function spaces W Wavelets

Pages in category "Functional analysis"

There are 130 pages in this section of this category.

List of functional analysis topics * Functional analysis A Absorbing set B Baire category theorem Baire space Banach limit Banach-Alaoglu theorem Banach-Mazur theorem Bernstein's inequality (mathematical analysis) Beta wavelet Beta-dual space Bochner space Bounded mean oscillation Bounded set Bred vectors C C0-semigroup CCR and CAR algebras Choquet theory Circular convolution Closed graph theorem Coercive function Colombeau algebra Commutant lifting theorem Compact convergence Compactly embedded Compression (functional analysis) Conjugate index Constructive quantum field theory Continuous linear extension Continuous linear operator Continuous wavelet Continuously embedded Convolution D De Branges function Density matrix Derivative (generalizations) Direct integral Dirichlet algebra Discontinuous linear map Disk algebra Distribution (mathematics) Dual pair Dual space

D cont. Dvoretzky's theorem E Eigenfunction Energetic space F F-space Fixed point theorems in infinite-dimensional spaces Free probability Functional determinant Functional square root G Gelfand representation Gelfand–Naimark theorem Gelfand-Naimark-Segal construction Geometric quantization Gram–Schmidt process Grothendieck inequality Gårding's inequality H Hahn–Banach theorem Harmonic spectrum Hellinger–Toeplitz theorem Hille–Yosida theorem Hölder condition Hölder's inequality I Invariant subspace problem K Kakutani fixed point theorem Kantorovich theorem L Linear functional List of operators M M. Riesz extension theorem Marcinkiewicz theorem Measure of non-compactness Mercer's theorem Min-max theorem Minkowski functional Minlos' theorem Mollifier Multiplication operator Müntz–Szász theorem N Neumann series O Open mapping theorem Ordered vector space Orthogonal complement Orthogonal functions Orthogonal projection Orthonormal basis Orthonormality

P Parseval's identity Partial trace Peetre theorem Perturbation theory Plancherel theorem Polar set Polarization identity Positive element Positive linear functional Predual Projection (linear algebra) Pseudo-differential operator Q Quasicontraction semigroup Quotient of subspace theorem Quotient space (linear algebra) R Riesz representation theorem Riesz sequence Riesz space Riesz's lemma Ryll-Nardzewski fixed point theorem S Schauder fixed point theorem Sequence space Sesquilinear form Singular value decomposition Spectral set Spectral theory of compact operators Spectrum continuation analysis State (functional analysis) Stone's theorem on one-parameter unitary groups Strongly positive bilinear form System of imprimitivity U Uniform algebra Uniform boundedness principle Uniform norm Uniformly Cauchy sequence Unit sphere Unitary transformation User:Repliedthemockturtle V Volterra series W Wavelet series Weak derivative Weierstrass M-test Weight function

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Category: Mathematical analysis

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• This page was last modified 17:52, 23 March 2007 by Wikipedia user Tsiaojian lee. Based on work by Wikipedia user(s) Biblbroks, Tsca.bot, D.h, Charles Matthews, Chmee2, YurikBot, Daniel tzvi, EugeneZelenko, HenkvD, Elwikipedista, MathMartin, Dysprosia and Lupin and Anonymous user(s) of Wikipedia.
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