Matches in DBpedia 2014 for { <http://dbpedia.org/resource/Quotient_of_subspace_theorem> ?p ?o. }
Showing items 1 to 26 of
26
with 100 items per page.
- Quotient_of_subspace_theorem abstract "In mathematics, the quotient of subspace theorem is an important property of finite-dimensional normed spaces, discovered by Vitali Milman.Let (X, ||·||) be an N-dimensional normed space. There exist subspaces Z ⊂ Y ⊂ X such that the following holds: The quotient space E = Y / Z is of dimension dim E ≥ c N, where c > 0 is a universal constant. The induced norm || · || on E, defined by is isomorphic to Euclidean. That is, there exists a positive quadratic form ("Euclidean structure") Q on E, such that for with K > 1 a universal constant.In fact, the constant c can be made arbitrarily close to 1, at the expense of theconstant K becoming large. The original proof allowed".
- Quotient_of_subspace_theorem wikiPageID "9176798".
- Quotient_of_subspace_theorem wikiPageRevisionID "598743593".
- Quotient_of_subspace_theorem hasPhotoCollection Quotient_of_subspace_theorem.
- Quotient_of_subspace_theorem subject Category:Asymptotic_geometric_analysis.
- Quotient_of_subspace_theorem subject Category:Banach_spaces.
- Quotient_of_subspace_theorem subject Category:Functional_analysis.
- Quotient_of_subspace_theorem subject Category:Theorems_in_functional_analysis.
- Quotient_of_subspace_theorem type Abstraction100002137.
- Quotient_of_subspace_theorem type Attribute100024264.
- Quotient_of_subspace_theorem type BanachSpaces.
- Quotient_of_subspace_theorem type Communication100033020.
- Quotient_of_subspace_theorem type Message106598915.
- Quotient_of_subspace_theorem type Proposition106750804.
- Quotient_of_subspace_theorem type Space100028651.
- Quotient_of_subspace_theorem type Statement106722453.
- Quotient_of_subspace_theorem type Theorem106752293.
- Quotient_of_subspace_theorem type TheoremsInFunctionalAnalysis.
- Quotient_of_subspace_theorem comment "In mathematics, the quotient of subspace theorem is an important property of finite-dimensional normed spaces, discovered by Vitali Milman.Let (X, ||·||) be an N-dimensional normed space. There exist subspaces Z ⊂ Y ⊂ X such that the following holds: The quotient space E = Y / Z is of dimension dim E ≥ c N, where c > 0 is a universal constant. The induced norm || · || on E, defined by is isomorphic to Euclidean.".
- Quotient_of_subspace_theorem label "Quotient of subspace theorem".
- Quotient_of_subspace_theorem sameAs m.027_8kl.
- Quotient_of_subspace_theorem sameAs Q7272898.
- Quotient_of_subspace_theorem sameAs Q7272898.
- Quotient_of_subspace_theorem sameAs Quotient_of_subspace_theorem.
- Quotient_of_subspace_theorem wasDerivedFrom Quotient_of_subspace_theorem?oldid=598743593.
- Quotient_of_subspace_theorem isPrimaryTopicOf Quotient_of_subspace_theorem.