uniformly convex Banach space

См. также в других словарях:

• Uniformly convex space — In mathematics, uniformly convex spaces are common examples of reflexive Banach spaces. These include all Hilbert spaces and the L p spaces for 10 so that for any two vectors with |x|le1 and |y|le 1, :|x+y|>2 delta implies :|x y| …   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

• Tsirelson space — In mathematics, Tsirelson space T is an example of a reflexive Banach space in which neither an l p space nor a c 0 space can be embedded.It was introduced by B. S. Tsirelson in 1974. In the same year, Figiel and Johnson published a related… …   Wikipedia

• Banach-Saks-Eigenschaft — Die Banach Saks Eigenschaft, benannt nach Stefan Banach und Stanisław Saks, ist eine mathematische Eigenschaft aus der Theorie der Banachräume. Sie sichert zu einer beschränkten Folge die Existenz einer Teilfolge, die im arithmetischen Mittel… …   Deutsch Wikipedia

• Reflexive space — In functional analysis, a Banach space is called reflexive if it satisfies a certain abstract property involving dual spaces. Reflexive spaces turn out to have desirable geometric properties. Definition Suppose X is a normed vector space over R… …   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

• 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

• 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

• Complete metric space — Cauchy completion redirects here. For the use in category theory, see Karoubi envelope. In mathematical analysis, a metric space M is called complete (or Cauchy) if every Cauchy sequence of points in M has a limit that is also in M or,… …   Wikipedia

• Milman–Pettis theorem — In mathematics, the Milman–Pettis theorem states that every uniformly convex Banach space is reflexive. The theorem was proved independently by D. Milman (1938) and B. J. Pettis (1939). S. Kakutani gave a different proof in (1939), and John R.… …   Wikipedia

• Injective metric space — In metric geometry, an injective metric space, or equivalently a hyperconvex metric space, is a metric space with certain properties generalizing those of the real line and of L∞ distances in higher dimensional vector spaces. These properties can …   Wikipedia