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About:
Continuous functional calculus
An Entity of Type:
Thing
,
from Named Graph:
http://dbpedia.org
,
within Data Space:
dbpedia.org
Branch of functional analysis
Property
Value
dbo:
description
branch of functional analysis
(en)
dbo:
wikiPageExternalLink
http://planetmath.org/continuousfunctionalcalculus
dbo:
wikiPageWikiLink
dbr
:Normal_operator
dbr
:Spectrum_(functional_analysis)
dbr
:Holomorphic_functional_calculus
dbr
:Mathematics
dbr
:Gelfand_representation
dbr
:C*-algebra
dbc
:C*-algebras
dbr
:Hilbert_space
dbc
:Functional_calculus
dbr
:Functional_calculus
dbr
:Continuous_function
dbr
:Operator_theory
dbr
:Stone–Weierstrass_theorem
dbr
:Borel_functional_calculus
dbc
:Continuous_mappings
dbp:
mathStatement
.
(en)
The mapping is called the continuous functional calculus of the normal element
(en)
Then there exists exactly one *-homomorphism with for and for the
(en)
Usually it is suggestively set
(en)
Let be a normal element of the C*-algebra with unit element and let be the commutative C*-algebra of continuous functions on , the spectrum of
(en)
identity.
(en)
dbp:
name
continuous functional calculus
(en)
dbp:
wikiPageUsesTemplate
dbt
:Cite_book
dbt
:Reflist
dbt
:Sfn
dbt
:Math_theorem
dbt
:SpectralTheory
dct:
subject
dbc
:Theorems_in_functional_analysis
dbc
:C*-algebras
dbc
:Functional_calculus
rdfs:
label
Continuous functional calculus
(en)
Stetiger Funktionalkalkül
(de)
owl:
sameAs
freebase
:Continuous functional calculus
yago-res
:Continuous functional calculus
wikidata
:Continuous functional calculus
dbpedia-de
:Continuous functional calculus
dbpedia-global
:Continuous functional calculus
prov:
wasDerivedFrom
wikipedia-en
:Continuous_functional_calculus?oldid=1281034757&ns=0
foaf:
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wikipedia-en
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is
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wikiPageWikiLink
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:Polar_decomposition
dbr
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dbr
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dbr
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dbr
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dbr
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dbr
:Enveloping_von_Neumann_algebra
dbr
:Kaplansky_density_theorem
dbr
:Spectral_theory_of_ordinary_differential_equations
dbr
:Square_root_of_a_matrix
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:C*-algebra
dbr
:Hilbert_space
dbr
:Hamiltonian_(quantum_mechanics)
dbr
:Operator_theory
dbr
:Trace_class
dbr
:Borel_functional_calculus
dbr
:Strong_operator_topology
dbr
:Quasinormal_operator
dbr
:Universal_C*-algebra
dbr
:Fuglede−Kadison_determinant
is
foaf:
primaryTopic
of
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