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continuous functional calculus (Feature)
ContinuousFunctionalCalculus2

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"continuous functional calculus" is owned by asteroid.
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See Also: functional calculus, polynomial functional calculus, Borel functional calculus

Also defines:  continuous functions of normal operators

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$C^*$-algebra homomorphisms preserve continuous functional calculus (Theorem) by asteroid
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Cross-references: square root, spectral mapping theorem, subspace, clear, *-homomorphism, identity function, bijective function, surjective, isomorphic, Gelfand-Mazur theorem, division algebra, quotient, maximal ideal, contained, dense in, variables, implies, weak-* topology, net, spectral invariance theorem, well defined, homeomorphism, mapping, topological spaces, homeomorphic, theorem, Gelfand transform, Hausdorff space, compact, multiplicative linear functionals, polynomials, elements, commutative, closure, norm, identity, generated by, unital, conclusions, invertible, function, homomorphism, spectrum, normal element, identity element, continuous functions, expression, functional calculus, normal operator, Hilbert space, complex, bounded operators, algebra
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This is version 8 of continuous functional calculus, born on 2007-08-24, modified 2009-02-07.
Object id is 9890, canonical name is ContinuousFunctionalCalculus2.
Accessed 2053 times total.

Classification:
AMS MSC46H30 (Functional analysis :: Topological algebras, normed rings and algebras, Banach algebras :: Functional calculus in topological algebras)
 46L05 (Functional analysis :: Selfadjoint operator algebras :: General theory of $C^*$-algebras)
 47A60 (Operator theory :: General theory of linear operators :: Functional calculus)

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