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The conical measure associated with a commutative C*-algebra

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Part of the book series: Lecture Notes in Mathematics ((LNM,volume 945))

Abstract

Given a Hilbert subspace H of a locally convex space E, and a commutative C*-algebra A of operators on H, one associates with A in a canonical manner a conical measure µ A on the set Hilb (E) of Hilbert subspaces of E. This conical measure, if localizable, represents intrinsically the diagonalisation of the algebra A in the space E. *** DIRECT SUPPORT *** A00J4419 00014

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D. Kölzow D. Maharam-Stone

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© 1982 Springer-Verlag

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Thomas, E.G.F. (1982). The conical measure associated with a commutative C*-algebra. In: Kölzow, D., Maharam-Stone, D. (eds) Measure Theory Oberwolfach 1981. Lecture Notes in Mathematics, vol 945. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0096681

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  • DOI: https://doi.org/10.1007/BFb0096681

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  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-11580-9

  • Online ISBN: 978-3-540-39324-5

  • eBook Packages: Springer Book Archive

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