Closed Linear Span

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• Closed linear span — In functional analysis, a branch of mathematics, the closed linear span of a set of vectors is the minimal closed set which contains the linear span of that set. Contents 1 Definition 2 Notes 3 A useful lemma …   Wikipedia

• Projection (linear algebra) — Orthogonal projection redirects here. For the technical drawing concept, see orthographic projection. For a concrete discussion of orthogonal projections in finite dimensional linear spaces, see vector projection. The transformation P is the… …   Wikipedia

• Flag (linear algebra) — In mathematics, particularly in linear algebra, a flag is an increasing sequence of subspaces of a vector space V . Here increasing means each is a proper subspace of the next (see filtration)::{0} = V 0 sub V 1 sub V 2 sub cdots sub V k = V.If… …   Wikipedia

• Tight span — If a set of points in the plane, with the Manhattan metric, has a connected orthogonal convex hull, then that hull coincides with the tight span of the points. In metric geometry, the metric envelope or tight span of a metric space M is an… …   Wikipedia

• Minimal polynomial (linear algebra) — For the minimal polynomial of an algebraic element of a field, see Minimal polynomial (field theory). In linear algebra, the minimal polynomial μA of an n by n matrix A over a field F is the monic polynomial P over F of least degree such that… …   Wikipedia

• Stinespring factorization theorem — In mathematics, Stinespring s dilation theorem, also called Stinespring s factorization theorem, is a result from operator theory that represents any completely positive map on a C* algebra as a composition of two completely positive maps each of …   Wikipedia

• CLS — Common Language Specification (Computing » General) Clinical Laboratory Science (Academic & Science » Universities) **** Celestica, Inc. (Business » NYSE Symbols) **** Continuous Linked Settlement (Community » Law) **** Clinical Laboratory… …   Abbreviations dictionary

• Hilbert space — For the Hilbert space filling curve, see Hilbert curve. Hilbert spaces can be used to study the harmonics of vibrating strings. The mathematical concept of a Hilbert space, named after David Hilbert, generalizes the notion of Euclidean space. It… …   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

• Vector space — This article is about linear (vector) spaces. For the structure in incidence geometry, see Linear space (geometry). Vector addition and scalar multiplication: a vector v (blue) is added to another vector w (red, upper illustration). Below, w is… …   Wikipedia

• Affine transformation — In geometry, an affine transformation or affine map or an affinity (from the Latin, affinis , connected with ) between two vector spaces (strictly speaking, two affine spaces) consists of a linear transformation followed by a translation::x… …   Wikipedia