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- Discontinuous_linear_map abstract "In mathematics, linear maps form an important class of "simple" functions which preserve the algebraic structure of linear spaces and are often used as approximations to more general functions (see linear approximation). If the spaces involved are also topological spaces (that is, topological vector spaces), then it makes sense to ask whether all linear maps are continuous. It turns out that for maps defined on infinite-dimensional topological vector spaces (e.g., infinite-dimensional normed spaces), the answer is generally no: there exist discontinuous linear maps. If the domain of definition is complete, such maps can be proven to exist, but the proof relies on the axiom of choice and does not provide an explicit example.".
- Discontinuous_linear_map wikiPageID "3531066".
- Discontinuous_linear_map wikiPageRevisionID "598779748".
- Discontinuous_linear_map hasPhotoCollection Discontinuous_linear_map.
- Discontinuous_linear_map subject Category:Functional_analysis.
- Discontinuous_linear_map subject Category:Functions_and_mappings.
- Discontinuous_linear_map type Abstraction100002137.
- Discontinuous_linear_map type Function113783816.
- Discontinuous_linear_map type FunctionsAndMappings.
- Discontinuous_linear_map type MathematicalRelation113783581.
- Discontinuous_linear_map type Relation100031921.
- Discontinuous_linear_map comment "In mathematics, linear maps form an important class of "simple" functions which preserve the algebraic structure of linear spaces and are often used as approximations to more general functions (see linear approximation). If the spaces involved are also topological spaces (that is, topological vector spaces), then it makes sense to ask whether all linear maps are continuous.".
- Discontinuous_linear_map label "Discontinuous linear map".
- Discontinuous_linear_map label "Operator liniowy nieciągły".
- Discontinuous_linear_map label "不連続線型写像".
- Discontinuous_linear_map sameAs 不連続線型写像.
- Discontinuous_linear_map sameAs Operator_liniowy_nieciągły.
- Discontinuous_linear_map sameAs m.09jtf4.
- Discontinuous_linear_map sameAs Q4391529.
- Discontinuous_linear_map sameAs Q4391529.
- Discontinuous_linear_map sameAs Discontinuous_linear_map.
- Discontinuous_linear_map wasDerivedFrom Discontinuous_linear_map?oldid=598779748.
- Discontinuous_linear_map isPrimaryTopicOf Discontinuous_linear_map.