Matches in DBpedia 2015-10 for { <http://dbpedia.org/resource/Convenient_vector_space> ?p ?o }
Showing triples 1 to 58 of
58
with 100 triples per page.
- Convenient_vector_space abstract "In mathematics, convenient vector spaces are locally convex vector spaces satisfying a very mild completeness condition. Traditional differential calculus is effective in the analysis of finite-dimensional vector spaces and for Banach spaces. Beyond Banach spaces, difficulties begin to arise; in particular, composition of continuous linear mappings stop being jointly continuous at the level of Banach spaces, for any compatible topology on the spaces of continuous linear mappings. Mappings between convenient vector spaces are smooth or C∞ if they map smooth curves to smooth curves. This leads to a Cartesian closed category of smooth mappings between c∞-open subsets of convenient vector spaces (see property 6 below). The corresponding calculus of smooth mappings is called convenient calculus.It is weaker than any other reasonable notion of differentiability, it is easy to apply, but there are smooth mappings which are not continuous (see Note 1).This type of calculus alone is not useful in solving equations.".
- Convenient_vector_space wikiPageExternalLink 0804.2995.
- Convenient_vector_space wikiPageExternalLink 0909.5632.
- Convenient_vector_space wikiPageExternalLink 1111.1819.
- Convenient_vector_space wikiPageExternalLink 1305.1150.
- Convenient_vector_space wikiPageExternalLink 1505.02359.
- Convenient_vector_space wikiPageExternalLink apbookh-ams.pdf.
- Convenient_vector_space wikiPageID "43466503".
- Convenient_vector_space wikiPageLength "20793".
- Convenient_vector_space wikiPageOutDegree "26".
- Convenient_vector_space wikiPageRevisionID "680110857".
- Convenient_vector_space wikiPageWikiLink A_priori_estimate.
- Convenient_vector_space wikiPageWikiLink Absolutely_convex_set.
- Convenient_vector_space wikiPageWikiLink Banach_space.
- Convenient_vector_space wikiPageWikiLink Bornological_space.
- Convenient_vector_space wikiPageWikiLink Cartesian_closed_category.
- Convenient_vector_space wikiPageWikiLink Category:Calculus_of_variations.
- Convenient_vector_space wikiPageWikiLink Category:Differential_calculus.
- Convenient_vector_space wikiPageWikiLink Category:Multivariable_calculus.
- Convenient_vector_space wikiPageWikiLink Compact_space.
- Convenient_vector_space wikiPageWikiLink Continuous_linear_operator.
- Convenient_vector_space wikiPageWikiLink Differentiable_manifold.
- Convenient_vector_space wikiPageWikiLink Dual_space.
- Convenient_vector_space wikiPageWikiLink Exponential_map.
- Convenient_vector_space wikiPageWikiLink Lie_group.
- Convenient_vector_space wikiPageWikiLink Locally_convex.
- Convenient_vector_space wikiPageWikiLink Locally_convex_topological_vector_space.
- Convenient_vector_space wikiPageWikiLink Minkowski_functional.
- Convenient_vector_space wikiPageWikiLink Multivariable_calculus.
- Convenient_vector_space wikiPageWikiLink Nash–Moser_theorem.
- Convenient_vector_space wikiPageWikiLink Normed_vector_space.
- Convenient_vector_space wikiPageWikiLink Polar_set.
- Convenient_vector_space wikiPageWikiLink Riemannian_manifold.
- Convenient_vector_space wikiPageWikiLink Tangent_bundle.
- Convenient_vector_space wikiPageWikiLink Uniform_space.
- Convenient_vector_space wikiPageWikiLink Vector_space.
- Convenient_vector_space wikiPageWikiLink File:ManifoldOfMappingsDiagram.svg.
- Convenient_vector_space wikiPageWikiLinkText "Convenient vector space".
- Convenient_vector_space wikiPageWikiLinkText "Manifolds of mappings".
- Convenient_vector_space wikiPageWikiLinkText "manifolds of mappings".
- Convenient_vector_space wikiPageWikiLinkText "regular Fréchet Lie group".
- Convenient_vector_space wikiPageWikiLinkText "regular Fréchet Lie groups".
- Convenient_vector_space b "G".
- Convenient_vector_space hasPhotoCollection Convenient_vector_space.
- Convenient_vector_space p "r".
- Convenient_vector_space wikiPageUsesTemplate Template:Functional_Analysis.
- Convenient_vector_space wikiPageUsesTemplate Template:Math.
- Convenient_vector_space wikiPageUsesTemplate Template:Reflist.
- Convenient_vector_space wikiPageUsesTemplate Template:Refn.
- Convenient_vector_space wikiPageUsesTemplate Template:Su.
- Convenient_vector_space subject Category:Calculus_of_variations.
- Convenient_vector_space subject Category:Differential_calculus.
- Convenient_vector_space subject Category:Multivariable_calculus.
- Convenient_vector_space comment "In mathematics, convenient vector spaces are locally convex vector spaces satisfying a very mild completeness condition. Traditional differential calculus is effective in the analysis of finite-dimensional vector spaces and for Banach spaces. Beyond Banach spaces, difficulties begin to arise; in particular, composition of continuous linear mappings stop being jointly continuous at the level of Banach spaces, for any compatible topology on the spaces of continuous linear mappings.".
- Convenient_vector_space label "Convenient vector space".
- Convenient_vector_space sameAs m.0134m0nk.
- Convenient_vector_space wasDerivedFrom Convenient_vector_space?oldid=680110857.
- Convenient_vector_space isPrimaryTopicOf Convenient_vector_space.