Functional analysis

a vector space whose elements are infinite sequences of real or complex numbers

mathematical operation

set that can be "inflated" to reach any point

generalization of finite measure to Banach spaces

Function between topological vector spaces

function that equals a given function when composed with itself

barrelled topological vector space where every closed and bounded set is compact

mathematical approach to defining a quantum theory corresponding to a given classical theory

mathematical function that "grows rapidly" at the extremes of the space on which it is defined

mathematical inequality bounding the derivative of a polynomial by its degree and maximum value

dual pair of vector spaces

theorem in convex analysis

In mathematical analysis, a '''C0-semigroup, also known as a strongly continuous one-parameter semigroup''', is a generalization of the exponential function. Just as exponential functions provide solutions of scalar linear constant coefficient ordinary differential equations, strongly continuous semigroups provide solutions of linear constant coefficient ordinary differential equations in Banach spaces. Such differential equations in Banach spaces arise from e.g. delay differential equations and partial differential equations.

mathematical concept

contnuous linear functional on the space of compactly supported differential forms

Basis for v whose vectors are mutually orthogonal

vector space with a partial order

integral of a functional over a space of curves

inequality involving a real number and n-dimensional real vectors

induced map between the dual spaces of the two vector spaces

orthogonal expansion for nonlinear functionals closely related to the Volterra series and having the same relation to it as an orthogonal Hermite polynomial expansion has to a power series

type of mathematical convergence in topology

partially ordered vector space, ordered as a lattice

Connects cyclic *-representations of A and certain linear functionals on A

computing concept

in functional analysis, a positive linear functional of norm 1

basic result of approximation theory

theorem about initial conditions that insure the convergence of Newton's method

function over linear operators

concept in linear algebra

geodesically complete metric space of non-positive curvature

tensor product space endowed with a special inner product