- operator theory
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English-german technical dictionary. 2013.
operator theory
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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
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
Integral Equations and Operator Theory — is a journal dedicated to operator theory and its applications to engineering and other mathematical sciences. As some approaches to the study of integral equations (theoretically and numerically) constitute a subfield of operator theory, the… … Wikipedia
Operator algebra — In functional analysis, an operator algebra is an algebra of continuous linear operators on a topological vector space with the multiplication given by the composition of mappings. Although it is usually classified as a branch of functional… … Wikipedia
Operator (physics) — In physics, an operator is a function acting on the space of physical states. As a result of its application on a physical state, another physical state is obtained, very often along with some extra relevant information. The simplest example of… … Wikipedia
Operator space — In functional analysis, a discipline within mathematics, an operator space is a Banach space given together with an isometric embedding into the space B(H) of all bounded operators on a Hilbert space H. [1] The category of operator spaces… … Wikipedia
Operator norm — In mathematics, the operator norm is a means to measure the size of certain linear operators. Formally, it is a norm defined on the space of bounded linear operators between two given normed vector spaces. Contents 1 Introduction and definition 2 … Wikipedia
Operator system — Given a unital C* algebra a * closed subspace[disambiguation needed ] S containing 1 is called an operator system. One can associate to each subspace … Wikipedia
Operator — may refer to: Contents 1 Music 2 Computers 3 Science and mathematics … Wikipedia
Operator (band) — Operator Origin Los Angeles, California, United States Genres Post grunge, alternative metal, hard rock Years active 2003–present (on hiatus) Labels … Wikipedia
