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On outer elements of noncommutative Orlicz–Hardy spaces

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Abstract

Let M be a von Neumann algebra equipped with a faithful normal tracial state τ, A be a subdiagonal subalgebra of M, and let Φ be a growth function. We transfer the results of Studia Math. 217, No. 3, 265–287 (2013) to the noncommutative H Φ(A) space case.

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References

  1. Arveson, W. B. “Analyticity in Operator Algebras”, Amer. J.Math. 89, No. 3, 578–642 (1967).

    Article  MathSciNet  MATH  Google Scholar 

  2. Blecher, D. P., Labuschagne, L. E. “Applications of the Fuglede–Kadison Determinant: Szegö’s Theorem and Outers for Noncommutative H p”, Trans.Amer.Math. Soc. 360, No. 11, 6131–6147 (2008).

    Article  MathSciNet  MATH  Google Scholar 

  3. Bekjan, T. N., Xu, Q. “Riesz and Szegö Type Factorizations for Noncommutative Hardy Spaces”, J. Oper. Theory 62, No. 1, 215–231 (2009).

    MathSciNet  MATH  Google Scholar 

  4. Blecher, D. P., Labuschagne, L. E. “Outers for Noncommutative H p Revisited”, StudiaMath. 217, No. 3, 265–287 (2013).

    MathSciNet  MATH  Google Scholar 

  5. Abdurexit, A., Bekjan, T. N. “Noncommutative Orlicz–Hardy Spaces Associated with Growth Functions”, J. Math. Anal. Appl. 420, No. 1, 824–834 (2014).

    Article  MathSciNet  MATH  Google Scholar 

  6. Abdurexit, A., Bekjan, T. N. “Noncommutative Orlicz Modular Spaces Associated with Growth Functions”, Banach J. Math. Anal. 9, No. 4, 115–125 (2015).

    Article  MathSciNet  MATH  Google Scholar 

  7. Bikchentaev, A. M. “On Noncommutative Function Spaces”, Selected Papers in K-theory. Amer. Math. Soc. Transl. (2) 154, 179–187 (1992).

    Article  Google Scholar 

  8. Marsalli, M., West, G. “Noncommutative H p-Spaces”, J. Oper. Theory 40, No. 2, 339–355 (1998).

    MathSciNet  MATH  Google Scholar 

  9. Exel, R. “Maximal Subdiagonal Algebras”, Amer. J.Math. 110, No. 4, 775–782 (1988).

    Article  MathSciNet  MATH  Google Scholar 

  10. Fack, T., Kosaki, H. “Generalized s-Numbers of τ-Measure Operators”, Pac. J. Math. 123, No. 2, 269–300 (1986).

    Article  MathSciNet  MATH  Google Scholar 

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Authors and Affiliations

  1. L. N. Gumilyov Eurasian National University, ul. Satpaeva 2, Astana, 010008, Republic of Kazakhstan

    T. N. Bekzhan & K. N. Ospanov

Authors
  1. T. N. Bekzhan
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  2. K. N. Ospanov
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Correspondence to T. N. Bekzhan.

Additional information

Original Russian Text © T.N. Bekzhan, K.N. Ospanov, 2016, published in Izvestiya Vysshikh Uchebnykh Zavedenii. Matematika, 2016, No. 12, pp. 19–25.

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Bekzhan, T.N., Ospanov, K.N. On outer elements of noncommutative Orlicz–Hardy spaces. Russ Math. 60, 15–20 (2016). https://doi.org/10.3103/S1066369X16120033

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