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Banach space and Dvoretzky's theorem

Shortcuts: Differences, Similarities, Jaccard Similarity Coefficient, References.

Difference between Banach space and Dvoretzky's theorem

Banach space vs. Dvoretzky's theorem

In mathematics, more specifically in functional analysis, a Banach space (pronounced) is a complete normed vector space. In mathematics, Dvoretzky's theorem is an important structural theorem about normed vector spaces proved by Aryeh Dvoretzky in the early 1960s, answering a question of Alexander Grothendieck.

Similarities between Banach space and Dvoretzky's theorem

Banach space and Dvoretzky's theorem have 7 things in common (in Unionpedia): Alexander Grothendieck, Banach–Mazur compactum, Convex set, Euclidean space, Mathematics, Normed vector space, Unit sphere.

Alexander Grothendieck

Alexander Grothendieck (28 March 1928 – 13 November 2014) was a German-born French mathematician who became the leading figure in the creation of modern algebraic geometry.

Alexander Grothendieck and Banach space · Alexander Grothendieck and Dvoretzky's theorem · See more »

Banach–Mazur compactum

In the mathematical study of functional analysis, the Banach–Mazur distance is a way to define a distance on the set Q(n) of n-dimensional normed spaces.

Banach space and Banach–Mazur compactum · Banach–Mazur compactum and Dvoretzky's theorem · See more »

Convex set

In convex geometry, a convex set is a subset of an affine space that is closed under convex combinations.

Banach space and Convex set · Convex set and Dvoretzky's theorem · See more »

Euclidean space

In geometry, Euclidean space encompasses the two-dimensional Euclidean plane, the three-dimensional space of Euclidean geometry, and certain other spaces.

Banach space and Euclidean space · Dvoretzky's theorem and Euclidean space · See more »

Mathematics

Mathematics (from Greek μάθημα máthēma, "knowledge, study, learning") is the study of such topics as quantity, structure, space, and change.

Banach space and Mathematics · Dvoretzky's theorem and Mathematics · See more »

Normed vector space

In mathematics, a normed vector space is a vector space over the real or complex numbers, on which a norm is defined.

Banach space and Normed vector space · Dvoretzky's theorem and Normed vector space · See more »

Unit sphere

In mathematics, a unit sphere is the set of points of distance 1 from a fixed central point, where a generalized concept of distance may be used; a closed unit ball is the set of points of distance less than or equal to 1 from a fixed central point.

Banach space and Unit sphere · Dvoretzky's theorem and Unit sphere · See more »

The list above answers the following questions

Banach space and Dvoretzky's theorem Comparison

Banach space has 158 relations, while Dvoretzky's theorem has 15. As they have in common 7, the Jaccard index is 4.05% = 7 / (158 + 15).

References

This article shows the relationship between Banach space and Dvoretzky's theorem. To access each article from which the information was extracted, please visit:

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