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norm compact set

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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

  • Norm Macdonald — For other people named Norm Macdonald, see Norm Macdonald (disambiguation). Norm Macdonald Norm Macdonald, September 2009 Birth name Norman Gene Macdonald Born …   Wikipedia

  • Norm Macdonald (comedian) — Infobox actor name = Norm Macdonald imagesize =150px caption = birthdate = birth date and age|1963|10|17 location = Quebec City, Quebec, Canada birthname = Norman Gene Macdonald othername = notable role = Various on Saturday Night Live Mitch… …   Wikipedia

  • Continuous functions on a compact Hausdorff space — In mathematical analysis, and especially functional analysis, a fundamental role is played by the space of continuous functions on a compact Hausdorff space with values in the real or complex numbers. This space, denoted by C(X), is a vector… …   Wikipedia

  • Uniform norm — This article is about the function space norm. For the finite dimensional vector space distance, see Chebyshev distance. The black square is the set of points in R2 where the sup norm equals a fixed non zero constant. In mathematical analysis,… …   Wikipedia

  • Bounded set (topological vector space) — In functional analysis and related areas of mathematics, a set in a topological vector space is called bounded or von Neumann bounded, if every neighborhood of the zero vector can be inflated to include the set. Conversely a set which is not… …   Wikipedia

  • Kakeya set — deltoid. At every stage of its rotation, the needle is in contact with the deltoid at three points: two endpoints (blue) and one tangent point (black).The needle s midpoint (red) describes a circle with diameter equal to half the length of the… …   Wikipedia

  • Spectral theory of compact operators — In functional analysis, compact operators are linear operators that map bounded sets to precompact ones. Compact operators acting on a Hilbert space H is the closure of finite rank operators in the uniform operator topology. In general, operators …   Wikipedia

  • Bounded set — In mathematical analysis and related areas of mathematics, a set is called bounded, if it is, in a certain sense, of finite size. Conversely a set which is not bounded is called unbounded. Definition A set S of real numbers is called bounded from …   Wikipedia

  • Dense set — In topology and related areas of mathematics, a subset A of a topological space X is called dense (in X) if any point x in X belongs to A or is a limit point of A.[1] Informally, for every point in X, the point is either in A or arbitrarily close …   Wikipedia

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