- contraction operator
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English-Russian scientific dictionary. 2008.
contraction operator
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Contraction (operator theory) — 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. Every bounded operator becomes a contraction after suitable scaling. The analysis of… … Wikipedia
Contraction — may refer to: In physiology: Muscle contraction, one that occurs when a muscle fiber lengthens or shortens Uterine contraction, contraction of the uterus, such as during childbirth Contraction, a stage in wound healing In linguistics: Synalepha,… … Wikipedia
Contraction mapping — In mathematics, a contraction mapping, or contraction, on a metric space (M,d) is a function f from M to itself, with the property that there is some nonnegative real number k < 1 such that for all x and y in M, The smallest such value of k is … Wikipedia
Operator theory — In mathematics, operator theory is the branch of functional analysis that focuses on bounded linear operators, but which includes closed operators and nonlinear operators. Operator theory also includes the study of algebras of operators. Contents … Wikipedia
Dilation (operator theory) — 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 is T. More formally, let T be a bounded operator on some Hilbert space H, and H be a subspace of a larger… … Wikipedia
Dissipative operator — In mathematics, a dissipative operator is a linear operator A defined on a linear subspace D(A) of Banach space X, taking values in X such that for all λ > 0 and all x ∈ D(A) A dissipative operator is called maximally… … Wikipedia
Hutchinson operator — In mathematics, in the study of fractals, a Hutchinson operator is a collection of functions on an underlying space E . The iteration on these functions gives rise to an iterated function system, for which the fixed set is self… … Wikipedia
Schatten class operator — The space of p th Schatten class operators is the subspace consisting of the operators Tin B(X) with a finite p th Schatten norm, here X denotes a Hilbert space. This is a Banach space in the Schatten norm. One can via polar decomposition easily… … Wikipedia
Belief revision — is the process of changing beliefs to take into account a new piece of information. The logical formalization of belief revision is researched in philosophy, in databases, and in artificial intelligence for the design of rational agents.What… … Wikipedia
List of mathematics articles (C) — NOTOC C C closed subgroup C minimal theory C normal subgroup C number C semiring C space C symmetry C* algebra C0 semigroup CA group Cabal (set theory) Cabibbo Kobayashi Maskawa matrix Cabinet projection Cable knot Cabri Geometry Cabtaxi number… … Wikipedia
Aeroacoustics — is a branch of acoustics that studies noise generation via either turbulent fluid motion or aerodynamic forces interacting with surfaces. Noise generation can also be associated with periodically varying flows. Although no complete scientific… … Wikipedia
