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1 ограниченное отображение
bounded mapping мат.Русско-английский научно-технический словарь Масловского > ограниченное отображение
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2 ограниченное отображение
Mathematics: bounded mappingУниверсальный русско-английский словарь > ограниченное отображение
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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
Bounded inverse theorem — In mathematics, the bounded inverse theorem is a result in the theory of bounded linear operators on Banach spaces. It states that a bijective bounded linear operator T from one Banach space to another has bounded inverse T −1. It is equivalent… … Wikipedia
Riemann mapping theorem — In complex analysis, the Riemann mapping theorem states that if U is a simply connected open subset of the complex number plane Bbb C which is not all of Bbb C, then there exists a biholomorphic (bijective and holomorphic) mapping f, from U, onto … Wikipedia
Quasiconformal mapping — In mathematics, the concept of quasiconformal mapping, introduced as a technical tool in complex analysis, has blossomed into an independent subject with various applications. Informally, a conformal homeomorphism is a homeomorphism between plane … Wikipedia
Open mapping theorem (functional analysis) — In functional analysis, the open mapping theorem, also known as the Banach–Schauder theorem (named after Stefan Banach and Juliusz Schauder), is a fundamental result which states that if a continuous linear operator between Banach spaces is… … Wikipedia
Inverse mapping theorem — In mathematics, inverse mapping theorem may refer to:* the inverse function theorem on the existence of local inverses for functions with non singular derivatives;* the bounded inverse theorem on the boundedness of the inverse for invertible… … Wikipedia
Carathéodory's theorem (conformal mapping) — See also Carathéodory s theorem for other meanings. In mathematics, Carathéodory s theorem in complex analysis states that if U is a simply connected open subset of the complex plane C, whose boundary is a Jordan curve Γ then the Riemann map : f … Wikipedia
Degree of a continuous mapping — This article is about the term degree as used in algebraic topology. For other uses, see degree (mathematics). A degree two map of a sphere onto itself. In topology, the degree is a numerical invariant that describes a continuous mapping between… … Wikipedia
Area theorem (conformal mapping) — In the mathematical theory of conformal mappings, the area theorem gives an inequality satisfied bythe power series coefficients of certain conformal mappings. The theorem is called by that name, not because of its implications, but rather… … Wikipedia
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
Holomorphic functional calculus — In mathematics, holomorphic functional calculus is functional calculus with holomorphic functions. That is to say, given a holomorphic function fnof; of a complex argument z and an operator T , the aim is to construct an operator:f(T),which in a… … Wikipedia