Functional analysis is that branch of mathematics and specifically of analysis which is concerned with the study of spaces of functions.
This category corresponds roughly to MSC 46-XX Functional analysis; see 46-XX at MathSciNet and 46-XX at zbMATH.
Subcategories
This category has the following 26 subcategories, out of 26 total.
- Theorems in functional analysis (117 P)
A
B
C
F
I
L
M
N
- Noncommutative geometry (18 P)
O
S
- Sequence spaces (2 P)
T
- Topological tensor products (14 P)
- Topology of function spaces (23 P)
V
W
Pages in category "Functional analysis"
The following 200 pages are in this category, out of approximately 284 total. This list may not reflect recent changes.
(previous page) (next page)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
F
G
H
I
K
L
M
N
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