About: Continuous functional calculus

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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.

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rdfs:label	Stetiger Funktionalkalkül (de) Continuous functional calculus (en)
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. (en) 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. (de)
dcterms:subject	C*-algebras Continuous mappings Functional calculus
Wikipage page ID	784808 (xsd:integer)
Wikipage revision ID	1119695186 (xsd:integer)
Link from a Wikipage to another Wikipage	Continuous function Mathematics Gelfand representation Normal operator Operator theory Stone–Weierstrass theorem Functional calculus Spectrum (functional analysis) Hilbert space C-algebras Continuous mappings Holomorphic functional calculus Borel functional calculus Functional calculus C-algebra
Link from a Wikipage to an external page	http://planetmath.org/continuousfunctionalcalculus
sameAs	Continuous functional calculus Continuous functional calculus Continuous functional calculus Continuous functional calculus Continuous functional calculus
dbp:wikiPageUsesTemplate	dbt:Reflist dbt:Short_description dbt:Analysis_in_topological_vector_spaces dbt:Functional_analysis
has abstract	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. (en) 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. (de)
prov:wasDerivedFrom	wikipedia-en:Continuous_functional_calculus?oldid=1119695186&ns=0
page length (characters) of wiki page	1890 (xsd:nonNegativeInteger)
foaf:isPrimaryTopicOf	wikipedia-en:Continuous_functional_calculus
is Link from a Wikipage to another Wikipage of	Enveloping von Neumann algebra List of functional analysis topics Operator theory Quasinormal operator Compact operator on Hilbert space Fuglede−Kadison determinant Hamiltonian (quantum mechanics) Dilation (operator theory) Kaplansky density theorem Hilbert space Holomorphic functional calculus Trace class Wold's decomposition Borel functional calculus C-algebra Polar decomposition Spectral theory of ordinary differential equations Square root of a matrix Strong operator topology Universal C-algebra
is foaf:primaryTopic of	wikipedia-en:Continuous_functional_calculus

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