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Articles

Orthogonality preserving pairs of operators on Hilbert C0(Z)-modules

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Pages 3151-3158 | Received 31 Jul 2020, Accepted 11 Sep 2020, Published online: 24 Sep 2020

References

  • Frank M, Mishchenko AS, Pavlov AA. Orthogonality-preserving, C*-conformal and conformal module mappings on Hilbert C*-modules. J Funct Anal. 2011;260:327–339. doi: 10.1016/j.jfa.2010.10.009
  • Leung C-W, Ng C-K, Wong N-C. Linear orthogonality preservers of Hilbert C∗- modules. J Operator Theory. 2014;71(2):571–584. doi: 10.7900/jot.2012jul12.1966
  • Chmieliński J. Orthogonality equation with two unknown functions. Aequationes Math. 2016;90:11–23. doi: 10.1007/s00010-015-0359-x
  • Molnár L. Generalizations of Wigner's unitary-antiunitary theorem for indefinite inner product spaces. Comm Math Phys. 2000;201:785–791.
  • Frank M, Moslehian MS, Zamani A. Orthogonality preserving property for pairs of operators on Hilbert C∗-modules, arXiv:1711.04724v2 [math.OA] 2019.
  • Leung C-W, Jeang J-S, Wong N-C. Biseparating linear maps between continuous vector-valued function spaces. J Aust Math Soc. 2003;74:101–109. doi: 10.1017/S1446788700003153
  • Leung C-W, Ng C-K, Wong N-C. Linear orthogonality preservers of Hilbert bundles. J Aust Math Soc. 2010;89:245–254. doi: 10.1017/S1446788710001515
  • Lance EC. Hilbert C-modules. Cambridge: Cambridge University Press; 1995. (London Math. Soc. Lecture Note Ser.; 210)
  • Munkres J. Topology. 2nd ed. Prentice Hall Int.; 2000.
  • Heunen C, Reyes ML. Frobenius structures over Hilbert C∗-modules. Commun Math Phys. 2018;361:787–824. doi: 10.1007/s00220-018-3166-0
  • Swan RG. Vector bundles and projective modules. Trans Am Math Soc. 1962;105:264–277. doi: 10.1090/S0002-9947-1962-0143225-6

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