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- Approximation_property abstract "In mathematics, a Banach space is said to have the approximation property (AP), if every compact operator is a limit of finite-rank operators. The converse is always true.Every Hilbert space has this property. There are, however, Banach spaces which do not; Per Enflo published the first counterexample in a 1973 article. However, a lot of work in this area was done by Grothendieck (1955).Later many other counterexamples were found. The space of bounded operators on does not have the approximation property (Szankowski). The spaces for and (see Sequence space) have closed subspaces that do not have the approximation property.".
- Approximation_property thumbnail MazurGes.jpg?width=300.
- Approximation_property wikiPageID "628962".
- Approximation_property wikiPageRevisionID "575637478".
- Approximation_property hasPhotoCollection Approximation_property.
- Approximation_property subject Category:Banach_spaces.
- Approximation_property subject Category:Functional_analysis.
- Approximation_property subject Category:Operator_theory.
- Approximation_property type Abstraction100002137.
- Approximation_property type Attribute100024264.
- Approximation_property type BanachSpaces.
- Approximation_property type Space100028651.
- Approximation_property comment "In mathematics, a Banach space is said to have the approximation property (AP), if every compact operator is a limit of finite-rank operators. The converse is always true.Every Hilbert space has this property. There are, however, Banach spaces which do not; Per Enflo published the first counterexample in a 1973 article. However, a lot of work in this area was done by Grothendieck (1955).Later many other counterexamples were found.".
- Approximation_property label "Approximation property".
- Approximation_property label "Approximationseigenschaft".
- Approximation_property label "Propriété d'approximation".
- Approximation_property sameAs Approximationseigenschaft.
- Approximation_property sameAs Propriété_d'approximation.
- Approximation_property sameAs m.02ycww.
- Approximation_property sameAs Q621744.
- Approximation_property sameAs Q621744.
- Approximation_property sameAs Approximation_property.
- Approximation_property wasDerivedFrom Approximation_property?oldid=575637478.
- Approximation_property depiction MazurGes.jpg.
- Approximation_property isPrimaryTopicOf Approximation_property.
