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Banach algebra technique for proving an addition formula for spectral multiplicities of sets of operators - MaRDI portal

Banach algebra technique for proving an addition formula for spectral multiplicities of sets of operators (Q2371576)

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Banach algebra technique for proving an addition formula for spectral multiplicities of sets of operators
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    Banach algebra technique for proving an addition formula for spectral multiplicities of sets of operators (English)
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    5 July 2007
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    The main result of this paper computes the spectral multiplicity \(\mu(L\oplus\tau)\), where \(L\) is the regular representation of a commutative unital Banach algebra \({\mathcal A}\) satisfying the Lin condition and \(\tau\) is an arbitrary representation of \({\mathcal A}\).
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    spectral multiplicity
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    commutative Banach algebra
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    representation
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    Lin condition
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