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Direct integral

Generalization of the concept of a direct sum in mathematics

general/functional-analysis
Spectral theory of compact operators

Theory in functional analysis

general/functional-analysis
Riesz space

Partially ordered vector space, ordered as a lattice

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Schur's property

Term from the theory of normed spaces

general/functional-analysis
Bochner measurable function
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Ordered vector space

Vector space with a partial order

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Absorbing set

Set that can be "inflated" to reach any point

general/functional-analysis
Monotonic function

Order-preserving mathematical function

general/functional-analysis
Continuous linear operator

Function between topological vector spaces

general/functional-analysis
Energetic space

Mathematical concept of energy in physics

general/functional-analysis
Pettis integral
general/functional-analysis
Weakly measurable function
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Banach limit

Mathematical term

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Mollifier

Integration kernels for smoothing out sharp features

general/functional-analysis
Symmetric convolution
general/functional-analysis
Orthogonal functions

Type of function

general/functional-analysis
Riesz sequence
general/functional-analysis
Radon–Riesz property
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Circular convolution

Mathematical operation

general/functional-analysis
Functional square root

Function that, applied twice, gives another function

general/functional-analysis
Convolution power

Mathematical concept

general/functional-analysis
Densely defined operator

Linear operator on dense subset of its apparent domain

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Continuous embedding
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Discontinuous linear map
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Continuous linear extension

Mathematical method in functional analysis

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C0-semigroup

Generalization of the exponential function

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Distortion problem
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Geometric quantization

Recipe for constructing a quantum analog of a classical physical theory

general/functional-analysis
Müntz–Szász theorem

Basic result of approximation theory

general/functional-analysis
Infinite-dimensional optimization
general/functional-analysis
L-semi-inner product

Generalization of inner products that applies to all normed spaces

general/functional-analysis
Hypercyclic operator
general/functional-analysis
Lyapunov–Schmidt reduction
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Functional analysis

Area of mathematics

general/functional-analysis
Positive linear functional
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Measure of non-compactness
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Zonal spherical function
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Hölder condition

Type of continuity of a complex-valued function

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Weierstrass M-test

Criterion about convergence of series

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State (functional analysis)
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Extensions of symmetric operators

Operation on self-adjoint operators

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Supporting functional
general/functional-analysis
Gelfand–Naimark–Segal construction

Correspondence in functional analysis

general/functional-analysis
Order dual (functional analysis)
general/functional-analysis
Helly space
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Unit sphere

Sphere with radius one, usually centered on the origin of the space

general/functional-analysis
Eigenfunction

Mathematical function of a linear operator

general/functional-analysis
Barrier cone
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Onsager–Machlup function

Summary of dynamics of a stochastic process

general/functional-analysis