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Hilbert modules characterization for weak hyperrigid operator systems

The Journal of Analysis volume 28, pages 905–912 (2020)Cite this article

Abstract

A characterization of weak hyperrigidity for certain separable operator systems in \(W^*\)-algebras in terms of the orthogonality properties of Hilbert modules over operator algebras is established.

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Acknowledgements

The first author thanks the National Board for Higher Mathematics (NBHM), India, for providing financial support to carry his research.

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Authors and Affiliations

  1. Statistics and Mathematics Unit, Indian Statistical Institute, Bangalore, 560 059, India

    P. Shankar

  2. Kerala School of Mathematics, Kozhikode, Kerala, 673571, India

    A. K. Vijayarajan

Authors
  1. P. Shankar
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  2. A. K. Vijayarajan
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Correspondence to P. Shankar.

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Shankar, P., Vijayarajan, A.K. Hilbert modules characterization for weak hyperrigid operator systems. J Anal 28, 905–912 (2020). https://doi.org/10.1007/s41478-020-00220-6

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  • DOI: https://doi.org/10.1007/s41478-020-00220-6

Keywords

  • Operator system
  • \(W^*\)-algebra
  • Weak hyperrigid set
  • Hilbert module

Mathematics Subject Classification

  • 46L07
  • 46L52
  • 46L89