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Statements

Subject Item: dbr:Enveloping_von_Neumann_algebra
dbo:wikiPageWikiLink: dbr:Continuous_functional_calculus

Subject Item: dbr:List_of_functional_analysis_topics
dbo:wikiPageWikiLink: dbr:Continuous_functional_calculus

Subject Item: dbr:Operator_theory
dbo:wikiPageWikiLink: dbr:Continuous_functional_calculus

Subject Item: dbr:Quasinormal_operator
dbo:wikiPageWikiLink: dbr:Continuous_functional_calculus

Subject Item: dbr:Continuous_functional_calculus
rdf:type: yago:Abstraction100002137 yago:Function113783816 yago:MathematicalRelation113783581 yago:Relation100031921 yago:WikicatContinuousMappings
rdfs:label: Stetiger Funktionalkalkül Continuous functional calculus
rdfs:comment: In mathematics, particularly in operator theory and C*-algebra theory, a continuous functional calculus is a functional calculus which allows the application of a continuous function to normal elements of a C*-algebra. Der stetige Funktionalkalkül gehört zu den wichtigsten Grundlagen der mathematischen Theorie der C*-Algebren. In der fortgeschrittenen Theorie sind die Anwendungen dieses Funktionalkalküls so selbstverständlich, dass sie oft nicht einmal erwähnt werden. Man kann ohne Übertreibung sagen, dass der stetige Funktionalkalkül, der auch in den grundlegenden Sätzen von Gelfand-Neumark steckt, den Unterschied zwischen C*-Algebren und allgemeinen Banachalgebren, in denen man lediglich einen holomorphen Funktionalkalkül hat, ausmacht.
dct:subject: dbc:Continuous_mappings dbc:Functional_calculus dbc:C*-algebras
dbo:wikiPageID: 784808
dbo:wikiPageRevisionID: 1119695186
dbo:wikiPageWikiLink: dbc:C*-algebras dbr:Gelfand_representation dbr:Borel_functional_calculus dbr:Normal_operator dbr:Spectrum_(functional_analysis) dbc:Continuous_mappings dbr:C*-algebra dbr:Holomorphic_functional_calculus dbr:Mathematics dbr:Hilbert_space dbr:Operator_theory dbc:Functional_calculus dbr:Functional_calculus dbr:Stone–Weierstrass_theorem dbr:Continuous_function
dbo:wikiPageExternalLink: n4:continuousfunctionalcalculus
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dbo:abstract: Der stetige Funktionalkalkül gehört zu den wichtigsten Grundlagen der mathematischen Theorie der C*-Algebren. In der fortgeschrittenen Theorie sind die Anwendungen dieses Funktionalkalküls so selbstverständlich, dass sie oft nicht einmal erwähnt werden. Man kann ohne Übertreibung sagen, dass der stetige Funktionalkalkül, der auch in den grundlegenden Sätzen von Gelfand-Neumark steckt, den Unterschied zwischen C*-Algebren und allgemeinen Banachalgebren, in denen man lediglich einen holomorphen Funktionalkalkül hat, ausmacht. In mathematics, particularly in operator theory and C*-algebra theory, a continuous functional calculus is a functional calculus which allows the application of a continuous function to normal elements of a C*-algebra.
prov:wasDerivedFrom: wikipedia-en:Continuous_functional_calculus?oldid=1119695186&ns=0
dbo:wikiPageLength: 1890
foaf:isPrimaryTopicOf: wikipedia-en:Continuous_functional_calculus

Subject Item: dbr:Compact_operator_on_Hilbert_space
dbo:wikiPageWikiLink: dbr:Continuous_functional_calculus

Subject Item: dbr:Fuglede−Kadison_determinant
dbo:wikiPageWikiLink: dbr:Continuous_functional_calculus

Subject Item: dbr:Hamiltonian_(quantum_mechanics)
dbo:wikiPageWikiLink: dbr:Continuous_functional_calculus

Subject Item: dbr:Dilation_(operator_theory)
dbo:wikiPageWikiLink: dbr:Continuous_functional_calculus

Subject Item: dbr:Kaplansky_density_theorem
dbo:wikiPageWikiLink: dbr:Continuous_functional_calculus

Subject Item: dbr:Hilbert_space
dbo:wikiPageWikiLink: dbr:Continuous_functional_calculus

Subject Item: dbr:Holomorphic_functional_calculus
dbo:wikiPageWikiLink: dbr:Continuous_functional_calculus

Subject Item: dbr:Trace_class
dbo:wikiPageWikiLink: dbr:Continuous_functional_calculus

Subject Item: dbr:Wold's_decomposition
dbo:wikiPageWikiLink: dbr:Continuous_functional_calculus

Subject Item: dbr:Borel_functional_calculus
dbo:wikiPageWikiLink: dbr:Continuous_functional_calculus

Subject Item: dbr:C*-algebra
dbo:wikiPageWikiLink: dbr:Continuous_functional_calculus

Subject Item: dbr:Polar_decomposition
dbo:wikiPageWikiLink: dbr:Continuous_functional_calculus

Subject Item: dbr:Spectral_theory_of_ordinary_differential_equations
dbo:wikiPageWikiLink: dbr:Continuous_functional_calculus

Subject Item: dbr:Square_root_of_a_matrix
dbo:wikiPageWikiLink: dbr:Continuous_functional_calculus

Subject Item: dbr:Strong_operator_topology
dbo:wikiPageWikiLink: dbr:Continuous_functional_calculus

Subject Item: dbr:Universal_C*-algebra
dbo:wikiPageWikiLink: dbr:Continuous_functional_calculus

Subject Item: wikipedia-en:Continuous_functional_calculus
foaf:primaryTopic: dbr:Continuous_functional_calculus