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Smooth Fréchet subalgebras of \(C^\ast\)-algebras defined by first order differential seminorms - MaRDI portal

Smooth Fréchet subalgebras of \(C^\ast\)-algebras defined by first order differential seminorms (Q263878)

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scientific article; zbMATH DE number 6563136
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English
Smooth Fréchet subalgebras of \(C^\ast\)-algebras defined by first order differential seminorms
scientific article; zbMATH DE number 6563136

    Statements

    Smooth Fréchet subalgebras of \(C^\ast\)-algebras defined by first order differential seminorms (English)
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    5 April 2016
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    smooth subalgebra of a \(C^\ast\)-algebra
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    spectral invariance
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    closure under functional calculus
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    Arens-Michael decomposition of a Fréchet algebra
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    Fréchet \(D_{1}^{*}\)-algebra
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    unbounded self-adjoint Hilbert space operator
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