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Conjugate Spaces

Masamichi Takesaki
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Masamichi Takesaki: University of California at Los Angeles, Department of Mathematics

Chapter Chapter III in Theory of Operator Algebras I, 1979, pp 101-180 from Springer

Abstract: 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.

Keywords: Banach Space; Lower Semicontinuous; Polar Decomposition; Affine Function; Lower Semicontinuous Function (search for similar items in EconPapers)
Date: 1979
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Persistent link: https://EconPapers.repec.org/RePEc:spr:sprchp:978-1-4612-6188-9_3

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DOI: 10.1007/978-1-4612-6188-9_3

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