About: Calkin correspondence

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In mathematics, the Calkin correspondence, named after mathematician John Williams Calkin, is a bijective correspondence between two-sided ideals of bounded linear operators of a separable infinite-dimensional Hilbert space and Calkin sequence spaces (also called rearrangement invariant sequence spaces). The correspondence is implemented by mapping an operator to its singular value sequence.

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rdf:type	yago:WikicatVonNeumannAlgebras yago:WikicatOperatorAlgebras yago:Abstraction100002137 yago:Algebra106012726 yago:Cognition100023271 yago:Content105809192 yago:Discipline105996646 yago:KnowledgeDomain105999266 yago:Mathematics106000644 yago:PsychologicalFeature100023100 yago:PureMathematics106003682 organisation yago:Science105999797
rdfs:label	Calkin correspondence (en)
rdfs:comment	In mathematics, the Calkin correspondence, named after mathematician John Williams Calkin, is a bijective correspondence between two-sided ideals of bounded linear operators of a separable infinite-dimensional Hilbert space and Calkin sequence spaces (also called rearrangement invariant sequence spaces). The correspondence is implemented by mapping an operator to its singular value sequence. (en)
dcterms:subject	Hilbert space Von Neumann algebras Operator algebras
Wikipage page ID	40116557 (xsd:integer)
Wikipage revision ID	945906427 (xsd:integer)
Link from a Wikipage to another Wikipage	Bra–ket notation John von Neumann Hilbert space Linear algebra Linear operator Linear operators Lp space Singular trace Compact operator Ideal (ring theory) Singular value John Williams Calkin Hilbert space Von Neumann algebras Operator algebras Sequence space Lorentz space Schatten class operator Finite-rank operator
Link from a Wikipage to an external page	http://www.degruyter.com/view/product/177778
sameAs	Calkin correspondence Calkin correspondence Calkin correspondence Calkin correspondence
dbp:wikiPageUsesTemplate	dbt:= dbt:Cite_book dbt:Reflist
has abstract	In mathematics, the Calkin correspondence, named after mathematician John Williams Calkin, is a bijective correspondence between two-sided ideals of bounded linear operators of a separable infinite-dimensional Hilbert space and Calkin sequence spaces (also called rearrangement invariant sequence spaces). The correspondence is implemented by mapping an operator to its singular value sequence. It originated from John von Neumann's study of symmetric norms on matrix algebras. It provides a fundamental classification and tool for the study of two-sided ideals of compact operators and their traces, by reducing problems about operator spaces to (more resolvable) problems on sequence spaces. (en)
gold:hypernym	Correspondence
prov:wasDerivedFrom	wikipedia-en:Calkin_correspondence?oldid=945906427&ns=0
page length (characters) of wiki page	5854 (xsd:nonNegativeInteger)
foaf:isPrimaryTopicOf	wikipedia-en:Calkin_correspondence
is Link from a Wikipage to another Wikipage of	John von Neumann Commutator subspace Singular trace John Williams Calkin Weak trace-class operator
is foaf:primaryTopic of	wikipedia-en:Calkin_correspondence

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