In operator theory, a bounded operator T: X → Y between normed vector spaces X and Y is said to be a contraction if its operator norm ||T || ≤ 1. This...

Trotter–Kato theorem Analytic semigroup Contraction (operator theory) Matrix exponential Strongly continuous family of operators Abstract differential equation...

mathematics, operator theory is the study of linear operators on function spaces, beginning with differential operators and integral operators. The operators may...

In functional analysis and operator theory, a bounded linear operator is a linear transformation L : X → Y {\displaystyle L:X\to Y} between topological...

diphthongs Contraction (operator theory), in operator theory, state of a bounded operator between normed vector spaces after suitable scaling Contraction hierarchies...

continuous linear operator Continuous linear extension – Mathematical method in functional analysis Contraction (operator theory) – Bounded operators with sub-unit...

fixed point is unique. Short map Contraction (operator theory) Transformation Comparametric equation Blackwell's contraction mapping theorem CLRg property...

Concept in functional analysis Continuous linear operator Contraction (operator theory) – Bounded operators with sub-unit norm Discontinuous linear map Dual...

known as the contraction mapping theorem or contractive mapping theorem or Banach–Caccioppoli theorem) is an important tool in the theory of metric spaces;...

Quasinormal operators Subnormal operators Continuous linear operator Contraction (operator theory) – Bounded operators with sub-unit norm In contrast,...

In operator theory, a dilation of an operator T on a Hilbert space H is an operator on a larger Hilbert space K, whose restriction to H composed with the...

{\displaystyle T} is called a contraction. Contraction (operator theory) – Bounded operators with sub-unit norm Contraction mapping – Function reducing...

both metric and non-metric contractions are crucial to the theory. For example, the Ricci tensor is a non-metric contraction of the Riemann curvature tensor...

generate a contraction semigroup. Let A be a linear operator defined on a linear subspace D(A) of the Banach space X. Then A generates a contraction semigroup...

one-parameter semigroups of linear operators on Banach spaces. It is sometimes stated for the special case of contraction semigroups, with the general case...

In operator theory, von Neumann's inequality, due to John von Neumann, states that, for a fixed contraction T, the polynomial functional calculus map is...

semibounded operators. J. Operator Theory 4 (1980), 251-270. Gr. Arsene and A. Gheondea, Completing matrix contractions, J. Operator Theory 7 (1982), 179-189...

the trace. The contraction is often used in conjunction with the tensor product to contract an index from each tensor. The contraction can also be understood...

In mathematics, the Hodge star operator or Hodge star is a linear map defined on the exterior algebra of a finite-dimensional oriented vector space endowed...

{O}}{\mathclose {:}}} denotes the normal order of an operator O ^ {\displaystyle {\hat {O}}} . Alternatively, contractions can be denoted by a line joining A ^ {\displaystyle...

characterizes maximally dissipative operators as the generators of contraction semigroups. A dissipative operator has the following properties: From the...

into a revision operator and then back into a contraction operator using the two identities above leads to the original contraction operator. The same holds...

Multiset analogue of matroids Pregeometry (model theory) – Formulation of matroids using closure operators Neel & Neudauer (2009) Kashyap, Soljanin & Vontobel...

of an operator is precisely the Euler characteristic of the 2-term complex 0 → V → W → 0. In operator theory, the index of Fredholm operators is an object...

broader theory of the Big Bounce, which envisions the Big Bang as the beginning of a period of expansion, that follows a period of contraction, which has...

relativity, also known as the general theory of relativity, and as Einstein's theory of gravity, is the geometric theory of gravitation published by Albert...

Great Contraction 1929–1933, Princeton: Princeton University Press, ISBN 978-0-691-00350-4 Laidler, David (December 1991). "The Quantity Theory is Always...

tensor theory. For expositions of tensor theory from different points of view, see: Tensor Tensor (intrinsic definition) Application of tensor theory in engineering...

natural extension of the representation leads to a semigroup of contraction operators, introduced as the oscillator semigroup by Roger Howe in 1988. The...

factorization theorem, named after W. Forrest Stinespring, is a result from operator theory that represents any completely positive map on a C*-algebra A as a...