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Conjugate Spaces

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Theory of Operator Algebras I
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Abstract

We study the conjugate space of a C*-algebra as a Banach space. In this chapter, we will see that a C*-algebra behaves, as a Banach space, like the space of continuous functions on a compact space, and its conjugate space looks like the L1-space on a measure space.

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© 1979 Springer-Verlag New York Inc.

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Takesaki, M. (1979). Conjugate Spaces. In: Takesaki, M. (eds) Theory of Operator Algebras I. Springer, New York, NY. https://doi.org/10.1007/978-1-4612-6188-9_3

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  • DOI: https://doi.org/10.1007/978-1-4612-6188-9_3

  • Publisher Name: Springer, New York, NY

  • Print ISBN: 978-1-4612-6190-2

  • Online ISBN: 978-1-4612-6188-9

  • eBook Packages: Springer Book Archive

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