Category:Functional analysis

A

• ► Approximation theory‎ (16 P)

B

• ► Banach algebras‎ (2 C, 13 P)

C

• ► Calculus of variations‎ (4 C, 43 P)

F

• ► Functional analysts‎ (3 C, 44 P)

I

• ► Integral transforms‎ (1 C, 34 P)

N

• ► Nonlinear functional analysis‎ (4 P)

O

• ► Operator theory‎ (7 C, 73 P)

T

• ► Topological vector spaces‎ (3 C, 22 P)

W

• ► Wavelets‎ (3 C, 26 P, 1 F)

• Functional analysis
• List of functional analysis topics

*

• Bounded mean oscillation

A

• Absorbing set
• Analytic semigroup
• Antiunitary operator
• Associative property

B

• Baire category theorem
• Baire space
• Banach limit
• Banach–Alaoglu theorem
• Beppo-Levi space
• Bergman space
• Bernstein's inequality (mathematical analysis)
• Beta wavelet
• Beta-dual space
• Bochner space
• Bounded set
• Brauner space
• Bred vector
• Bs space

C

• C space
• C0-semigroup
• CCR and CAR algebras
• Choquet theory
• Christoffel–Darboux formula
• Circular convolution
• Coercive function
• Colombeau algebra
• Commutative property
• Compact convergence
• Compactly embedded
• Complementarity theory
• Complex-valued function
• Composition operator
• Compression (functional analysis)
• Conjugate index
• Constructive quantum field theory
• Continuous functions on a compact Hausdorff space
• Continuous linear operator
• Continuous wavelet
• Continuously embedded
• Convolution

D

• Density matrix
• Direct integral
• Dirichlet algebra
• Discontinuous linear map
• Discretization
• Disk algebra
• Distribution (mathematics)
• Dual pair
• Dual space

E

• Eigenfunction
• Energetic space

F

• Free independence
• Free Poisson distribution
• Free probability
• Functional determinant
• Functional integration
• Functional square root

G

• Gelfand representation
• Gelfand–Naimark–Segal construction
• Geometric quantization
• Gram–Schmidt process

H

• Hamburger moment problem
• Harmonic spectrum
• Hölder condition
• Hypercyclic operator

I

• Infinite-dimensional optimization
• Invariant subspace problem

K

• Kernel (linear algebra)
• Kuratowski embedding

L

• Linear form
• Linear subspace
• List of operators

M

• Measure of non-compactness
• Minkowski functional
• Mollifier
• Monotonic function
• Multiplication operator
• Müntz–Szász theorem

N

• Negacyclic convolution
• Neumann series

O

• Operator (mathematics)
• Ordered vector space
• Orthogonal complement
• Orthonormal basis
• Orthonormality

P

• Partial trace
• Perturbation theory
• Pettis integral
• Polar set
• Projection (linear algebra)
• Pseudo-differential operator

Q

• Quasicontraction semigroup
• Quotient space (linear algebra)

R

• Riesz sequence
• Riesz space

S

• Sequence space
• Sesquilinear form
• Singular value decomposition
• Smith space
• Spectral set
• Spectral theory of compact operators
• Spectrum continuation analysis
• Stereotype space
• Strongly positive bilinear form
• Supporting hyperplane
• Symmetric convolution
• System of imprimitivity

T

• Tensor product of Hilbert spaces
• Triebel–Lizorkin space

U

• Uniform algebra
• Uniform boundedness principle
• Uniform norm
• Uniformly Cauchy sequence
• Unit ball
• Unit sphere
• Unitary transformation

V

• Vector measure

W

• Wavelet transform
• Weak derivative
• Weight function

Z

• Zeta function (operator)
• Zonal spherical function