Frechet space

Frechet space
Frechet-avaruus (Fréchet, "Fre'shee")

English-Finnish mathematical dictionary. 2011.

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  • Fréchet space — This article is about Fréchet spaces in functional analysis. For Fréchet spaces in general topology, see T1 space. For the type of sequential space, see Fréchet Urysohn space. In functional analysis and related areas of mathematics, Fréchet… …   Wikipedia

  • Fréchet manifold — In mathematics, in particular in nonlinear analysis, a Fréchet manifold is a topological space modeled on a Fréchet space in much the same way as a manifold is modeled on a Euclidean space.More precisely, a Fréchet manifold consists of a… …   Wikipedia

  • space — 1. noun /speɪs/ a) The intervening contents of a volume. If it be only a Single Letter or two that drops, he thruſts the end of his Bodkin between every Letter of that Word, till he comes to a Space: and then perhaps by forcing thoſe Letters… …   Wiktionary

  • Fréchet derivative — In mathematics, the Fréchet derivative is a derivative defined on Banach spaces. Named after Maurice Fréchet, it is commonly used to formalize the concept of the functional derivative used widely in mathematical analysis, especially functional… …   Wikipedia

  • Fréchet, Maurice — ▪ French mathematician in full  Réne Maurice Fréchet  born September 2, 1878, Maligny, France died June 4, 1973, Paris       French mathematician known chiefly for his contributions to real analysis (analysis). He is credited with being the… …   Universalium

  • Fréchet surface — In mathematics, a Fréchet surface is an equivalence class of parametrized surfaces in a metric space. In other words, a Fréchet surface is a way of thinking about surfaces independently of how they are written down (parametrized). The concept is… …   Wikipedia

  • Locally convex topological vector space — In functional analysis and related areas of mathematics, locally convex topological vector spaces or locally convex spaces are examples of topological vector spaces (TVS) which generalize normed spaces. They can be defined as topological vector… …   Wikipedia

  • Maurice René Fréchet — Born September 2, 1878(1878 0 …   Wikipedia

  • Differentiation in Fréchet spaces — In mathematics, in particular in functional analysis and nonlinear analysis, it is possible to define the derivative of a function between two Fréchet spaces. This notion of differentiation is significantly weaker than the derivative in a Banach… …   Wikipedia

  • Topological vector space — In mathematics, a topological vector space is one of the basic structures investigated in functional analysis. As the name suggests the space blends a topological structure (a uniform structure to be precise) with the algebraic concept of a… …   Wikipedia

  • Nuclear space — In mathematics, a nuclear space is a topological vector space with many of the good properties of finite dimensional vector spaces. The topology on them can be defined by a family of seminorms whose unit balls decrease rapidly in size. Vector… …   Wikipedia

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