Category:Functional analysis

• Theorems in functional analysis‎ (117 P)

A

• Approximation theory‎ (3 C, 32 P)

B

• Banach algebras‎ (3 C, 16 P)

C

• Calculus of variations‎ (9 C, 70 P)
• Convex hulls‎ (2 C, 20 P)

F

• F-spaces‎ (2 C, 4 P)
• Function spaces‎ (1 C, 12 P)
• Functional analysis journals‎ (1 C, 4 P)
• Functional analysts‎ (4 C, 125 P)

I

• Integral equations‎ (1 C, 14 P)
• Integral representations‎ (1 C, 7 P)
• Integral transforms‎ (2 C, 56 P)

L

• Linear operators‎ (8 C, 41 P)

M

• Metric linear spaces‎ (1 C)
• Metric spaces‎ (3 C, 12 P)

N

• Noncommutative geometry‎ (18 P)
• Nonlinear functional analysis‎ (9 P)

O

• Operator algebras‎ (2 C, 23 P)
• Operator theory‎ (9 C, 152 P)
• Optimization in vector spaces‎ (2 C, 7 P)

S

• Sequence spaces‎ (2 P)

T

• Topological tensor products‎ (14 P)
• Topological vector spaces‎ (4 C, 84 P)
• Topology of function spaces‎ (23 P)

V

• Variational analysis‎ (4 C, 15 P)

W

• Wavelets‎ (3 C, 52 P)

• Functional analysis

*

• List of functional analysis topics

A

• Absolutely and completely monotonic functions and sequences
• Absorbing set
• Abstract differential equation
• Abstract L-space
• Abstract m-space
• Action selection
• Algebraic interior
• Analytic semigroup
• Antiunitary operator
• Archimedean ordered vector space
• Asplund space
• Associative property
• Auxiliary normed space

B

• Baire category theorem
• Baire space
• Banach lattice
• Banach limit
• Banach space
• Banach–Mazur compactum
• Banach–Mazur theorem
• Band (order theory)
• Barrier cone
• Beppo-Levi space
• Bergman space
• Bernstein's inequality (mathematical analysis)
• Beta-dual space
• Bipolar theorem
• Bochner measurable function
• Bochner space
• Bornology
• Bounded deformation
• Bounded mean oscillation
• Bounded set
• Brauner space
• Bred vector
• Bs space

C

• C space
• C*-algebra
• C0-semigroup
• Carleman linearization
• Cauchy–Rassias stability
• CCR and CAR algebras
• Choquet integral
• Choquet theory
• Christoffel–Darboux formula
• Circular convolution
• Closed graph property
• Cocompact embedding
• Coercive function
• Colombeau algebra
• Commutative property
• Compact convergence
• Compact embedding
• Complementarity theory
• Complemented subspace
• Complete topological vector space
• Composition operator
• Compression (functional analysis)
• Condensed mathematics
• Cone-saturated
• Conjugate index
• Constructive quantum field theory
• Continuous embedding
• Continuous functions on a compact Hausdorff space
• Continuous linear extension
• Continuous linear operator
• Convolution
• Convolution power
• Countably barrelled space
• Countably quasi-barrelled space
• Current (mathematics)
• Cyclic vector
• Cyclical monotonicity
• Cylindrical σ-algebra

D

• Degenerate bilinear form
• Densely defined operator
• Density matrix
• DF-space
• Differentiable measure
• Direct integral
• Dirichlet algebra
• Dirichlet space
• Discontinuous linear map
• Discretization
• Disk algebra
• Distortion problem
• Distribution (mathematics)
• Double operator integral
• Dual norm
• Dual system
• Dual space

E

• Eigenfunction
• Energetic space
• Envelope (category theory)
• Erdős–Kaplansky theorem
• Explicit algebraic stress model
• Exposed point
• Extensions of symmetric operators
• Extreme point

F

• Fréchet lattice
• Free convolution
• Free independence
• Free probability
• Functional determinant
• Functional integration
• Functional square root
• Fusion frame

G

• Gelfand representation
• Gelfand–Naimark–Segal construction
• Gelfand–Shilov space
• Geometric quantization
• Glossary of functional analysis
• Gram–Schmidt process

H

• Hadamard space
• Hamburger moment problem
• Harmonic spectrum
• Helly space
• High-dimensional statistics
• Hilbert space
• Hölder condition
• Hyers–Ulam–Rassias stability
• Hypercyclic operator

I

• Inductive tensor product
• Infinite-dimensional optimization
• Infrabarrelled space
• Injective tensor product
• International Workshop on Operator Theory and its Applications
• Invariant subspace problem

J

• James' space
• Jordan operator algebra

K

• K-space (functional analysis)
• Kantorovich theorem
• Kato's inequality
• Kernel (linear algebra)
• Korovkin approximation
• Kuratowski embedding

L

• L-semi-inner product
• Lattice disjoint
• Linear form
• Linear subspace
• Liouville space
• Local boundedness
• Locally compact quantum group
• Locally convex topological vector space
• Locally convex vector lattice
• Lomonosov's invariant subspace theorem
• Lower envelope
• Lyapunov vector
• Lyapunov–Schmidt reduction

M

• Markushevich basis
• Measure of non-compactness
• Minkowski functional
• Modes of variation
• Mollifier
• Monotonic function
• Montel space
• Multiplication operator
• Müntz–Szász theorem

N

• Negacyclic convolution
• Neumann series
• Norm (mathematics)
• Normal cone (functional analysis)
• Normed vector lattice
• Nuclear C*-algebra
• Numerical methods in fluid mechanics

O

• Onsager–Machlup function
• Operator (mathematics)
• Operator algebra
• Operator ideal
• Operator norm
• Operator topologies
• List of mathematic operators
• Order bound dual
• Order complete
• Order convergence
• Order dual (functional analysis)
• Order summable
• Order topology (functional analysis)
• Ordered algebra
• Ordered topological vector space
• Ordered vector space
• Orlicz sequence space
• Orthogonal basis
• Orthogonal complement
• Orthogonal functions
• Orthonormal basis
• Orthonormal function system
• Orthonormality
• Oscillatory integral

P

• Partial trace
• Peetre's inequality
• Perturbation theory
• Pettis integral
• Polar set
• Polarization identity
• Positive linear functional
• Positive linear operator
• Predual