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- Strictly_convex_space abstract "In mathematics, a strictly convex space is a normed topological vector space (V, || ||) for which the unit ball is a strictly convex set. Put another way, a strictly convex space is one for which, given any two points x and y in the boundary ∂B of the unit ball B of V, the affine line L(x, y) passing through x and y meets ∂B only at x and y. Strict convexity is somewhere between an inner product space (all inner product spaces are strictly convex) and a general normed space (all strictly convex normed spaces are normed spaces) in terms of structure. It also guarantees the uniqueness of a best approximation to an element in X (strictly convex) out of Y (a subspace of X) if indeed such an approximation exists.".
- Strictly_convex_space thumbnail Vector_norms.svg?width=300.
- Strictly_convex_space wikiPageID "12740746".
- Strictly_convex_space wikiPageLength "2500".
- Strictly_convex_space wikiPageOutDegree "18".
- Strictly_convex_space wikiPageRevisionID "644286465".
- Strictly_convex_space wikiPageWikiLink Affine_space.
- Strictly_convex_space wikiPageWikiLink Banach_space.
- Strictly_convex_space wikiPageWikiLink Boundary_(topology).
- Strictly_convex_space wikiPageWikiLink Category:Convex_analysis.
- Strictly_convex_space wikiPageWikiLink Category:Normed_spaces.
- Strictly_convex_space wikiPageWikiLink Convex_set.
- Strictly_convex_space wikiPageWikiLink If_and_only_if.
- Strictly_convex_space wikiPageWikiLink Inner_product_space.
- Strictly_convex_space wikiPageWikiLink Mathematics.
- Strictly_convex_space wikiPageWikiLink Modulus_and_characteristic_of_convexity.
- Strictly_convex_space wikiPageWikiLink Normed_vector_space.
- Strictly_convex_space wikiPageWikiLink Topological_vector_space.
- Strictly_convex_space wikiPageWikiLink Unit_sphere.
- Strictly_convex_space wikiPageWikiLink File:Vector_norms.svg.
- Strictly_convex_space wikiPageWikiLinkText "strictly convex space".
- Strictly_convex_space wikiPageWikiLinkText "strictly convex".
- Strictly_convex_space wikiPageUsesTemplate Template:Cite_journal.
- Strictly_convex_space subject Category:Convex_analysis.
- Strictly_convex_space subject Category:Normed_spaces.
- Strictly_convex_space hypernym Space.
- Strictly_convex_space type Space.
- Strictly_convex_space comment "In mathematics, a strictly convex space is a normed topological vector space (V, || ||) for which the unit ball is a strictly convex set. Put another way, a strictly convex space is one for which, given any two points x and y in the boundary ∂B of the unit ball B of V, the affine line L(x, y) passing through x and y meets ∂B only at x and y.".
- Strictly_convex_space label "Strictly convex space".
- Strictly_convex_space sameAs Q916093.
- Strictly_convex_space sameAs Strikt_konvexer_Raum.
- Strictly_convex_space sameAs Espace_strictement_convexe.
- Strictly_convex_space sameAs 狭義凸空間.
- Strictly_convex_space sameAs m.02x2vf8.
- Strictly_convex_space sameAs Строго_нормированное_пространство.
- Strictly_convex_space sameAs Q916093.
- Strictly_convex_space wasDerivedFrom Strictly_convex_space?oldid=644286465.
- Strictly_convex_space depiction Vector_norms.svg.
- Strictly_convex_space isPrimaryTopicOf Strictly_convex_space.
