compact operator

compact operator
мат.
компактный оператор

English-Russian scientific dictionary. 2008.

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  • Compact operator — In functional analysis, a branch of mathematics, a compact operator is a linear operator L from a Banach space X to another Banach space Y, such that the image under L of any bounded subset of X is a relatively compact subset of Y. Such an… …   Wikipedia

  • Compact operator on Hilbert space — In functional analysis, compact operators on Hilbert spaces are a direct extension of matrices: in the Hilbert spaces, they are precisely the closure of finite rank operators in the uniform operator topology. As such, results from matrix theory… …   Wikipedia

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  • Compact space — Compactness redirects here. For the concept in first order logic, see compactness theorem. In mathematics, specifically general topology and metric topology, a compact space is an abstract mathematical space whose topology has the compactness… …   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

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  • Operator Grammar — For the class of formal computer languages, see Operator precedence grammar. Operator Grammar is a mathematical theory of human language that explains how language carries information. This theory is the culmination of the life work of Zellig… …   Wikipedia

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  • Operator topology — In the mathematical field of functional analysis there are several standard topologies which are given to the algebra B(H) of bounded linear operators on a Hilbert space H. Contents 1 Introduction 2 List of topologies on B(H) 3 …   Wikipedia

  • Operator K-theory — In mathematics, operator K theory is a variant of K theory on the category of Banach algebras (In most applications, these Banach algebras are C* algebras). Its basic feature that distinguishes it from algebraic K theory is that it has a Bott… …   Wikipedia


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