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- Locally_convex_topological_vector_space abstract "In functional analysis and related areas of mathematics, locally convex topological vector spaces or locally convex spaces are examples of topological vector spaces (TVS) that generalize normed spaces. They can be defined as topological vector spaces whose topology is generated by translations of balanced, absorbent, convex sets. Alternatively they can be defined as a vector space with a family of seminorms, and a topology can be defined in terms of that family. Although in general such spaces are not necessarily normable, the existence of a convex local base for the zero vector is strong enough for the Hahn–Banach theorem to hold, yielding a sufficiently rich theory of continuous linear functionals.Fréchet spaces are locally convex spaces that are metrizable and complete with respect to this metric. They are generalizations of Banach spaces, which are complete vector spaces with respect to a norm.".
- Locally_convex_topological_vector_space wikiPageID "518844".
- Locally_convex_topological_vector_space wikiPageRevisionID "603192400".
- Locally_convex_topological_vector_space hasPhotoCollection Locally_convex_topological_vector_space.
- Locally_convex_topological_vector_space subject Category:Topological_vector_spaces.
- Locally_convex_topological_vector_space type Abstraction100002137.
- Locally_convex_topological_vector_space type Attribute100024264.
- Locally_convex_topological_vector_space type Space100028651.
- Locally_convex_topological_vector_space type TopologicalVectorSpaces.
- Locally_convex_topological_vector_space comment "In functional analysis and related areas of mathematics, locally convex topological vector spaces or locally convex spaces are examples of topological vector spaces (TVS) that generalize normed spaces. They can be defined as topological vector spaces whose topology is generated by translations of balanced, absorbent, convex sets. Alternatively they can be defined as a vector space with a family of seminorms, and a topology can be defined in terms of that family.".
- Locally_convex_topological_vector_space label "Espace localement convexe".
- Locally_convex_topological_vector_space label "Espacio localmente convexo".
- Locally_convex_topological_vector_space label "Espaço localmente convexo".
- Locally_convex_topological_vector_space label "Locally convex topological vector space".
- Locally_convex_topological_vector_space label "Lokalkonvexer Raum".
- Locally_convex_topological_vector_space label "Przestrzeń liniowo-topologiczna lokalnie wypukła".
- Locally_convex_topological_vector_space label "Spazio localmente convesso".
- Locally_convex_topological_vector_space sameAs Lokalkonvexer_Raum.
- Locally_convex_topological_vector_space sameAs Espacio_localmente_convexo.
- Locally_convex_topological_vector_space sameAs Espace_localement_convexe.
- Locally_convex_topological_vector_space sameAs Spazio_localmente_convesso.
- Locally_convex_topological_vector_space sameAs Przestrzeń_liniowo-topologiczna_lokalnie_wypukła.
- Locally_convex_topological_vector_space sameAs Espaço_localmente_convexo.
- Locally_convex_topological_vector_space sameAs m.02kv7j.
- Locally_convex_topological_vector_space sameAs Q1572357.
- Locally_convex_topological_vector_space sameAs Q1572357.
- Locally_convex_topological_vector_space sameAs Locally_convex_topological_vector_space.
- Locally_convex_topological_vector_space wasDerivedFrom Locally_convex_topological_vector_space?oldid=603192400.
- Locally_convex_topological_vector_space isPrimaryTopicOf Locally_convex_topological_vector_space.