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The 2-concavification of a Banach lattice equals the diagonal of the Fremlin tensor square

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Abstract

We investigate the relationship between the diagonal of the Fremlin projective tensor product of a Banach lattice E with itself and the 2-concavification of E.

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Authors and Affiliations

  1. Department of Mathematics, University of Mississippi, University, MS, 38677-1848, USA

    Qingying Bu & Gerard Buskes

  2. Department of Pure Mathematics, Faculty of Mathematics, University of Waterloo, Waterloo, ON, N2L 3G1, Canada

    Alexey I. Popov

  3. Mathematics and Statistics Department, Grant MacEwan University, Edmonton, AB, T5J P2P, Canada

    Adi Tcaciuc

  4. Department of Mathematical and Statistical Sciences, University of Alberta, Edmonton, AB, T6G 2G1, Canada

    Vladimir G. Troitsky

Authors
  1. Qingying Bu
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  2. Gerard Buskes
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  3. Alexey I. Popov
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  4. Adi Tcaciuc
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  5. Vladimir G. Troitsky
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Corresponding author

Correspondence to Vladimir G. Troitsky.

Additional information

A. I. Popov, A. Tcaciuc, and V. G. Troitsky were supported by NSERC.

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Bu, Q., Buskes, G., Popov, A.I. et al. The 2-concavification of a Banach lattice equals the diagonal of the Fremlin tensor square. Positivity 17, 283–298 (2013). https://doi.org/10.1007/s11117-012-0166-8

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  • DOI: https://doi.org/10.1007/s11117-012-0166-8

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