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Description of Facially Symmetric Spaces with Unitary Tripotents

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Abstract

We give a description of finite-dimensional real neutral strongly facially symmetric spaces with JP-property (joint Peirce decomposition). We also prove that if the space \(Z \) is a real neutral strongly facially symmetric with an unitary tripotents then \(Z\) is isometrically isomorphic to the space \(L_1(\Omega ,\Sigma , \mu ) \), where \((\Omega ,\Sigma , \mu ) \) is a measure space having the direct sum property.

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Authors and Affiliations

  1. Karakalpak State University, Nukus, 230113, Uzbekistan

    K. Kudaybergenov & J. Seypullaev

Authors
  1. K. Kudaybergenov
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  2. J. Seypullaev
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Correspondence to K. Kudaybergenov or J. Seypullaev.

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The text was submitted by the authors in English.

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Kudaybergenov, K., Seypullaev, J. Description of Facially Symmetric Spaces with Unitary Tripotents. Sib. Adv. Math. 30, 117–123 (2020). https://doi.org/10.3103/S1055134420020042

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  • DOI: https://doi.org/10.3103/S1055134420020042

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