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Hilbert modules characterization for weak hyperrigid operator systems


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

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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).

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

Mathematics Subject Classification

  • 46L07
  • 46L52
  • 46L89