Corpus ID: 204824276

Lebesgue decomposition of non-commutative measures.

@inproceedings{Jury2019LebesgueDO,
  title={Lebesgue decomposition of non-commutative measures.},
  author={Michael T. Jury and Robert T.W. Martin},
  year={2019}
}
  • Michael T. Jury, Robert T.W. Martin
  • Published 2019
  • Mathematics
  • The Riesz-Markov theorem identifies any positive, finite, and regular Borel measure on the complex unit circle with a positive linear functional on the continuous functions. By the Weierstrass approximation theorem, the continuous functions are obtained as the norm closure of the Disk Algebra and its conjugates. Here, the Disk Algebra can be viewed as the unital norm-closed operator algebra of the shift operator on the Hardy Space, $H^2$ of the disk. Replacing square-summable Taylor series… CONTINUE READING

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