proper subspace

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• Proper — may refer to:* Proper (liturgy), the part of a Christian liturgy that is specific to the date within the Liturgical Year * Proper frame, such system of reference in which object is stationary (non moving), sometimes also called a co moving frame… …   Wikipedia

• subspace — [sub′spās΄] n. Math. a space which forms a proper subset of some larger space …   English World dictionary

• Subspace theorem — In mathematics, the subspace theorem is a result obtained by Wolfgang M. Schmidt in 1972. [Schmidt, Wolfgang M. Norm form equations. Ann. of Math. (2) 96 (1972), pp. 526 551] It states that if L 1,..., L n are linearly independent linear forms in …   Wikipedia

• Invariant subspace problem — In the field of mathematics known as functional analysis, one of the most prominent open problems is the invariant subspace problem, sometimes optimistically known as the invariant subspace conjecture. It is the question whether the following… …   Wikipedia

• Invariant subspace — In mathematics, an invariant subspace of a linear mapping : T : V rarr; V from some vector space V to itself is a subspace W of V such that T ( W ) is contained in W . An invariant subspace of T is also said to be T invariant.If W is T invariant …   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

• Riesz's lemma — is an lemma in functional analysis. It specifies (often easy to check) conditions which guarantee that a subspace in a normed linear space is dense. The result Before stating the result, we fix some notation. Let X be a normed linear space with… …   Wikipedia

• Hardy space — In complex analysis, the Hardy spaces (or Hardy classes) Hp are certain spaces of holomorphic functions on the unit disk or upper half plane. They were introduced by Frigyes Riesz (Riesz 1923), who named them after G. H. Hardy, because of the… …   Wikipedia

• Bounded variation — In mathematical analysis, a function of bounded variation refers to a real valued function whose total variation is bounded (finite): the graph of a function having this property is well behaved in a precise sense. For a continuous function of a… …   Wikipedia

• Generalized flag variety — In mathematics, a generalized flag variety (or simply flag variety) is a homogeneous space whose points are flags in a finite dimensional vector space V over a field F. When F is the real or complex numbers, a generalized flag variety is a smooth …   Wikipedia

• Constrained generalized inverse — A constrained generalized inverse inverse is obtained by solving a system of linear equations with an additional constraint that the solution is in a given subspace. One also says that the problem is described by a system of constrained linear… …   Wikipedia